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Finding the Fourth Proportional to 7,882.60, 11,812.77 and 4,374.16

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Solution

The fourth proportional to 7,882.60, 11,812.77 and 4,374.16 is: 6,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.60 : 11,812.77 = 4,374.16 : x
  2. Step 2: Convert to fraction form
    7,882.60/11,812.77 = 4,374.16/x
  3. Step 3: Cross multiply
    7,882.60x = 11,812.77 × 4,374.16
  4. Step 4: Simplify right side
    7,882.60x = 51,670,946.02
  5. Step 5: Solve for x
    x = 51,670,946.02/7,882.60
  6. Step 6: Final answer
    x = 6,555.06

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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.