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Finding the Fourth Proportional to 10,535.68, 14,534.72 and 7,393.92

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Solution

The fourth proportional to 10,535.68, 14,534.72 and 7,393.92 is: 10,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.68 : 14,534.72 = 7,393.92 : x
  2. Step 2: Convert to fraction form
    10,535.68/14,534.72 = 7,393.92/x
  3. Step 3: Cross multiply
    10,535.68x = 14,534.72 × 7,393.92
  4. Step 4: Simplify right side
    10,535.68x = 107,468,556.90
  5. Step 5: Solve for x
    x = 107,468,556.90/10,535.68
  6. Step 6: Final answer
    x = 10,200.44

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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.