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Finding the Fourth Proportional to 10,569.90, 15,833.32 and 5,006.38

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Solution

The fourth proportional to 10,569.90, 15,833.32 and 5,006.38 is: 7,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.90 : 15,833.32 = 5,006.38 : x
  2. Step 2: Convert to fraction form
    10,569.90/15,833.32 = 5,006.38/x
  3. Step 3: Cross multiply
    10,569.90x = 15,833.32 × 5,006.38
  4. Step 4: Simplify right side
    10,569.90x = 79,267,616.58
  5. Step 5: Solve for x
    x = 79,267,616.58/10,569.90
  6. Step 6: Final answer
    x = 7,499.37

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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.