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Finding the Fourth Proportional to 10,253.34, 15,365.16 and 5,569.38

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Solution

The fourth proportional to 10,253.34, 15,365.16 and 5,569.38 is: 8,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.34 : 15,365.16 = 5,569.38 : x
  2. Step 2: Convert to fraction form
    10,253.34/15,365.16 = 5,569.38/x
  3. Step 3: Cross multiply
    10,253.34x = 15,365.16 × 5,569.38
  4. Step 4: Simplify right side
    10,253.34x = 85,574,414.80
  5. Step 5: Solve for x
    x = 85,574,414.80/10,253.34
  6. Step 6: Final answer
    x = 8,346.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.