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Finding the Fourth Proportional to 7,851.02, 11,778.65 and 2,587.02

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Solution

The fourth proportional to 7,851.02, 11,778.65 and 2,587.02 is: 3,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.02 : 11,778.65 = 2,587.02 : x
  2. Step 2: Convert to fraction form
    7,851.02/11,778.65 = 2,587.02/x
  3. Step 3: Cross multiply
    7,851.02x = 11,778.65 × 2,587.02
  4. Step 4: Simplify right side
    7,851.02x = 30,471,590.19
  5. Step 5: Solve for x
    x = 30,471,590.19/7,851.02
  6. Step 6: Final answer
    x = 3,881.23

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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.