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Finding the Fourth Proportional to 7,807.60, 11,711.40 and 2,878.75

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Solution

The fourth proportional to 7,807.60, 11,711.40 and 2,878.75 is: 4,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.60 : 11,711.40 = 2,878.75 : x
  2. Step 2: Convert to fraction form
    7,807.60/11,711.40 = 2,878.75/x
  3. Step 3: Cross multiply
    7,807.60x = 11,711.40 × 2,878.75
  4. Step 4: Simplify right side
    7,807.60x = 33,714,192.75
  5. Step 5: Solve for x
    x = 33,714,192.75/7,807.60
  6. Step 6: Final answer
    x = 4,318.13

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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.