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Finding the Fourth Proportional to 7,117.60, 10,677.48 and 3,419.16

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Solution

The fourth proportional to 7,117.60, 10,677.48 and 3,419.16 is: 5,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.60 : 10,677.48 = 3,419.16 : x
  2. Step 2: Convert to fraction form
    7,117.60/10,677.48 = 3,419.16/x
  3. Step 3: Cross multiply
    7,117.60x = 10,677.48 × 3,419.16
  4. Step 4: Simplify right side
    7,117.60x = 36,508,012.52
  5. Step 5: Solve for x
    x = 36,508,012.52/7,117.60
  6. Step 6: Final answer
    x = 5,129.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.