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Finding the Fourth Proportional to 10,377.36, 15,490.26 and 9,000.36

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Solution

The fourth proportional to 10,377.36, 15,490.26 and 9,000.36 is: 13,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.36 : 15,490.26 = 9,000.36 : x
  2. Step 2: Convert to fraction form
    10,377.36/15,490.26 = 9,000.36/x
  3. Step 3: Cross multiply
    10,377.36x = 15,490.26 × 9,000.36
  4. Step 4: Simplify right side
    10,377.36x = 139,417,916.49
  5. Step 5: Solve for x
    x = 139,417,916.49/10,377.36
  6. Step 6: Final answer
    x = 13,434.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.