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Finding the Fourth Proportional to 10,416.60, 14,373.18 and 5,940.68

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Solution

The fourth proportional to 10,416.60, 14,373.18 and 5,940.68 is: 8,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.60 : 14,373.18 = 5,940.68 : x
  2. Step 2: Convert to fraction form
    10,416.60/14,373.18 = 5,940.68/x
  3. Step 3: Cross multiply
    10,416.60x = 14,373.18 × 5,940.68
  4. Step 4: Simplify right side
    10,416.60x = 85,386,391.10
  5. Step 5: Solve for x
    x = 85,386,391.10/10,416.60
  6. Step 6: Final answer
    x = 8,197.15

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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.