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Finding the Fourth Proportional to 7,878.60, 11,805.14 and 3,708.72

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Solution

The fourth proportional to 7,878.60, 11,805.14 and 3,708.72 is: 5,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.60 : 11,805.14 = 3,708.72 : x
  2. Step 2: Convert to fraction form
    7,878.60/11,805.14 = 3,708.72/x
  3. Step 3: Cross multiply
    7,878.60x = 11,805.14 × 3,708.72
  4. Step 4: Simplify right side
    7,878.60x = 43,781,968.09
  5. Step 5: Solve for x
    x = 43,781,968.09/7,878.60
  6. Step 6: Final answer
    x = 5,557.07

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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.