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Finding the Fourth Proportional to 7,627.90, 10,517.70 and 5,602.12

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Solution

The fourth proportional to 7,627.90, 10,517.70 and 5,602.12 is: 7,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.90 : 10,517.70 = 5,602.12 : x
  2. Step 2: Convert to fraction form
    7,627.90/10,517.70 = 5,602.12/x
  3. Step 3: Cross multiply
    7,627.90x = 10,517.70 × 5,602.12
  4. Step 4: Simplify right side
    7,627.90x = 58,921,417.52
  5. Step 5: Solve for x
    x = 58,921,417.52/7,627.90
  6. Step 6: Final answer
    x = 7,724.46

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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.