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Finding the Fourth Proportional to 10,063.60, 13,887.10 and 5,587.14

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Solution

The fourth proportional to 10,063.60, 13,887.10 and 5,587.14 is: 7,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.60 : 13,887.10 = 5,587.14 : x
  2. Step 2: Convert to fraction form
    10,063.60/13,887.10 = 5,587.14/x
  3. Step 3: Cross multiply
    10,063.60x = 13,887.10 × 5,587.14
  4. Step 4: Simplify right side
    10,063.60x = 77,589,171.89
  5. Step 5: Solve for x
    x = 77,589,171.89/10,063.60
  6. Step 6: Final answer
    x = 7,709.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.