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Finding the Fourth Proportional to 7,807.57, 11,712.92 and 2,877.23

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Solution

The fourth proportional to 7,807.57, 11,712.92 and 2,877.23 is: 4,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.57 : 11,712.92 = 2,877.23 : x
  2. Step 2: Convert to fraction form
    7,807.57/11,712.92 = 2,877.23/x
  3. Step 3: Cross multiply
    7,807.57x = 11,712.92 × 2,877.23
  4. Step 4: Simplify right side
    7,807.57x = 33,700,779.71
  5. Step 5: Solve for x
    x = 33,700,779.71/7,807.57
  6. Step 6: Final answer
    x = 4,316.43

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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.