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Finding the Fourth Proportional to 10,102.83, 13,944.17 and 6,559.89

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Solution

The fourth proportional to 10,102.83, 13,944.17 and 6,559.89 is: 9,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.83 : 13,944.17 = 6,559.89 : x
  2. Step 2: Convert to fraction form
    10,102.83/13,944.17 = 6,559.89/x
  3. Step 3: Cross multiply
    10,102.83x = 13,944.17 × 6,559.89
  4. Step 4: Simplify right side
    10,102.83x = 91,472,148.55
  5. Step 5: Solve for x
    x = 91,472,148.55/10,102.83
  6. Step 6: Final answer
    x = 9,054.11

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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.