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Finding the Fourth Proportional to 10,416.60, 15,608.70 and 5,478.84

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Solution

The fourth proportional to 10,416.60, 15,608.70 and 5,478.84 is: 8,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.60 : 15,608.70 = 5,478.84 : x
  2. Step 2: Convert to fraction form
    10,416.60/15,608.70 = 5,478.84/x
  3. Step 3: Cross multiply
    10,416.60x = 15,608.70 × 5,478.84
  4. Step 4: Simplify right side
    10,416.60x = 85,517,569.91
  5. Step 5: Solve for x
    x = 85,517,569.91/10,416.60
  6. Step 6: Final answer
    x = 8,209.74

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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.