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Finding the Fourth Proportional to 10,839.60, 14,967 and 8,317.62

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Solution

The fourth proportional to 10,839.60, 14,967 and 8,317.62 is: 11,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.60 : 14,967 = 8,317.62 : x
  2. Step 2: Convert to fraction form
    10,839.60/14,967 = 8,317.62/x
  3. Step 3: Cross multiply
    10,839.60x = 14,967 × 8,317.62
  4. Step 4: Simplify right side
    10,839.60x = 124,489,818.54
  5. Step 5: Solve for x
    x = 124,489,818.54/10,839.60
  6. Step 6: Final answer
    x = 11,484.72

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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.