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Finding the Fourth Proportional to 10,781.60, 14,876.64 and 6,064.16

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Solution

The fourth proportional to 10,781.60, 14,876.64 and 6,064.16 is: 8,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.60 : 14,876.64 = 6,064.16 : x
  2. Step 2: Convert to fraction form
    10,781.60/14,876.64 = 6,064.16/x
  3. Step 3: Cross multiply
    10,781.60x = 14,876.64 × 6,064.16
  4. Step 4: Simplify right side
    10,781.60x = 90,214,325.22
  5. Step 5: Solve for x
    x = 90,214,325.22/10,781.60
  6. Step 6: Final answer
    x = 8,367.43

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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.