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Finding the Fourth Proportional to 7,851.20, 11,775.78 and 6,543.11

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Solution

The fourth proportional to 7,851.20, 11,775.78 and 6,543.11 is: 9,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.20 : 11,775.78 = 6,543.11 : x
  2. Step 2: Convert to fraction form
    7,851.20/11,775.78 = 6,543.11/x
  3. Step 3: Cross multiply
    7,851.20x = 11,775.78 × 6,543.11
  4. Step 4: Simplify right side
    7,851.20x = 77,050,253.32
  5. Step 5: Solve for x
    x = 77,050,253.32/7,851.20
  6. Step 6: Final answer
    x = 9,813.82

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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.