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Finding the Fourth Proportional to 10,825.74, 14,938.05 and 6,045.12

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Solution

The fourth proportional to 10,825.74, 14,938.05 and 6,045.12 is: 8,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.74 : 14,938.05 = 6,045.12 : x
  2. Step 2: Convert to fraction form
    10,825.74/14,938.05 = 6,045.12/x
  3. Step 3: Cross multiply
    10,825.74x = 14,938.05 × 6,045.12
  4. Step 4: Simplify right side
    10,825.74x = 90,302,304.82
  5. Step 5: Solve for x
    x = 90,302,304.82/10,825.74
  6. Step 6: Final answer
    x = 8,341.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.