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Finding the Fourth Proportional to 11,869.60, 16,374.88 and 7,151.16

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Solution

The fourth proportional to 11,869.60, 16,374.88 and 7,151.16 is: 9,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.60 : 16,374.88 = 7,151.16 : x
  2. Step 2: Convert to fraction form
    11,869.60/16,374.88 = 7,151.16/x
  3. Step 3: Cross multiply
    11,869.60x = 16,374.88 × 7,151.16
  4. Step 4: Simplify right side
    11,869.60x = 117,099,386.86
  5. Step 5: Solve for x
    x = 117,099,386.86/11,869.60
  6. Step 6: Final answer
    x = 9,865.49

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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.