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Finding the Fourth Proportional to 10,564.04, 15,861.63 and 5,893.17

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Solution

The fourth proportional to 10,564.04, 15,861.63 and 5,893.17 is: 8,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.04 : 15,861.63 = 5,893.17 : x
  2. Step 2: Convert to fraction form
    10,564.04/15,861.63 = 5,893.17/x
  3. Step 3: Cross multiply
    10,564.04x = 15,861.63 × 5,893.17
  4. Step 4: Simplify right side
    10,564.04x = 93,475,252.60
  5. Step 5: Solve for x
    x = 93,475,252.60/10,564.04
  6. Step 6: Final answer
    x = 8,848.44

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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.