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Finding the Fourth Proportional to 7,851.12, 11,772.88 and 4,565.08

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Solution

The fourth proportional to 7,851.12, 11,772.88 and 4,565.08 is: 6,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.12 : 11,772.88 = 4,565.08 : x
  2. Step 2: Convert to fraction form
    7,851.12/11,772.88 = 4,565.08/x
  3. Step 3: Cross multiply
    7,851.12x = 11,772.88 × 4,565.08
  4. Step 4: Simplify right side
    7,851.12x = 53,744,139.03
  5. Step 5: Solve for x
    x = 53,744,139.03/7,851.12
  6. Step 6: Final answer
    x = 6,845.41

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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.