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Finding the Fourth Proportional to 10,073.56, 13,902.24 and 5,598.76

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Solution

The fourth proportional to 10,073.56, 13,902.24 and 5,598.76 is: 7,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.56 : 13,902.24 = 5,598.76 : x
  2. Step 2: Convert to fraction form
    10,073.56/13,902.24 = 5,598.76/x
  3. Step 3: Cross multiply
    10,073.56x = 13,902.24 × 5,598.76
  4. Step 4: Simplify right side
    10,073.56x = 77,835,305.22
  5. Step 5: Solve for x
    x = 77,835,305.22/10,073.56
  6. Step 6: Final answer
    x = 7,726.69

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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.