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Finding the Fourth Proportional to 10,073.08, 13,900.40 and 5,597.14

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Solution

The fourth proportional to 10,073.08, 13,900.40 and 5,597.14 is: 7,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.08 : 13,900.40 = 5,597.14 : x
  2. Step 2: Convert to fraction form
    10,073.08/13,900.40 = 5,597.14/x
  3. Step 3: Cross multiply
    10,073.08x = 13,900.40 × 5,597.14
  4. Step 4: Simplify right side
    10,073.08x = 77,802,484.86
  5. Step 5: Solve for x
    x = 77,802,484.86/10,073.08
  6. Step 6: Final answer
    x = 7,723.80

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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.