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Finding the Fourth Proportional to 10,577.47, 15,866.67 and 5,893.93

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Solution

The fourth proportional to 10,577.47, 15,866.67 and 5,893.93 is: 8,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.47 : 15,866.67 = 5,893.93 : x
  2. Step 2: Convert to fraction form
    10,577.47/15,866.67 = 5,893.93/x
  3. Step 3: Cross multiply
    10,577.47x = 15,866.67 × 5,893.93
  4. Step 4: Simplify right side
    10,577.47x = 93,517,042.31
  5. Step 5: Solve for x
    x = 93,517,042.31/10,577.47
  6. Step 6: Final answer
    x = 8,841.15

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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.