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Finding the Fourth Proportional to 10,578.02, 14,490.03 and 10,461.38

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Solution

The fourth proportional to 10,578.02, 14,490.03 and 10,461.38 is: 14,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.02 : 14,490.03 = 10,461.38 : x
  2. Step 2: Convert to fraction form
    10,578.02/14,490.03 = 10,461.38/x
  3. Step 3: Cross multiply
    10,578.02x = 14,490.03 × 10,461.38
  4. Step 4: Simplify right side
    10,578.02x = 151,585,676.82
  5. Step 5: Solve for x
    x = 151,585,676.82/10,578.02
  6. Step 6: Final answer
    x = 14,330.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.