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Finding the Fourth Proportional to 12,884.16, 17,779.76 and 7,507.78

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Solution

The fourth proportional to 12,884.16, 17,779.76 and 7,507.78 is: 10,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.16 : 17,779.76 = 7,507.78 : x
  2. Step 2: Convert to fraction form
    12,884.16/17,779.76 = 7,507.78/x
  3. Step 3: Cross multiply
    12,884.16x = 17,779.76 × 7,507.78
  4. Step 4: Simplify right side
    12,884.16x = 133,486,545.30
  5. Step 5: Solve for x
    x = 133,486,545.30/12,884.16
  6. Step 6: Final answer
    x = 10,360.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.