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Finding the Fourth Proportional to 10,564.41, 15,862.19 and 5,893.55

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Solution

The fourth proportional to 10,564.41, 15,862.19 and 5,893.55 is: 8,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.41 : 15,862.19 = 5,893.55 : x
  2. Step 2: Convert to fraction form
    10,564.41/15,862.19 = 5,893.55/x
  3. Step 3: Cross multiply
    10,564.41x = 15,862.19 × 5,893.55
  4. Step 4: Simplify right side
    10,564.41x = 93,484,501.10
  5. Step 5: Solve for x
    x = 93,484,501.10/10,564.41
  6. Step 6: Final answer
    x = 8,849.00

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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.