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Finding the Fourth Proportional to 10,484.60, 15,734.18 and 6,777.62

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Solution

The fourth proportional to 10,484.60, 15,734.18 and 6,777.62 is: 10,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.60 : 15,734.18 = 6,777.62 : x
  2. Step 2: Convert to fraction form
    10,484.60/15,734.18 = 6,777.62/x
  3. Step 3: Cross multiply
    10,484.60x = 15,734.18 × 6,777.62
  4. Step 4: Simplify right side
    10,484.60x = 106,640,293.05
  5. Step 5: Solve for x
    x = 106,640,293.05/10,484.60
  6. Step 6: Final answer
    x = 10,171.14

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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.