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Finding the Fourth Proportional to 11,569.30, 17,355.28 and 5,641.98

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Solution

The fourth proportional to 11,569.30, 17,355.28 and 5,641.98 is: 8,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.30 : 17,355.28 = 5,641.98 : x
  2. Step 2: Convert to fraction form
    11,569.30/17,355.28 = 5,641.98/x
  3. Step 3: Cross multiply
    11,569.30x = 17,355.28 × 5,641.98
  4. Step 4: Simplify right side
    11,569.30x = 97,918,142.65
  5. Step 5: Solve for x
    x = 97,918,142.65/11,569.30
  6. Step 6: Final answer
    x = 8,463.62

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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.