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Finding the Fourth Proportional to 10,214.60, 15,309.12 and 5,534.60

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Solution

The fourth proportional to 10,214.60, 15,309.12 and 5,534.60 is: 8,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.60 : 15,309.12 = 5,534.60 : x
  2. Step 2: Convert to fraction form
    10,214.60/15,309.12 = 5,534.60/x
  3. Step 3: Cross multiply
    10,214.60x = 15,309.12 × 5,534.60
  4. Step 4: Simplify right side
    10,214.60x = 84,729,855.55
  5. Step 5: Solve for x
    x = 84,729,855.55/10,214.60
  6. Step 6: Final answer
    x = 8,294.98

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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.