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Finding the Fourth Proportional to 7,162.40, 9,887.80 and 5,565.48

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Solution

The fourth proportional to 7,162.40, 9,887.80 and 5,565.48 is: 7,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.40 : 9,887.80 = 5,565.48 : x
  2. Step 2: Convert to fraction form
    7,162.40/9,887.80 = 5,565.48/x
  3. Step 3: Cross multiply
    7,162.40x = 9,887.80 × 5,565.48
  4. Step 4: Simplify right side
    7,162.40x = 55,030,353.14
  5. Step 5: Solve for x
    x = 55,030,353.14/7,162.40
  6. Step 6: Final answer
    x = 7,683.23

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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.