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Finding the Fourth Proportional to 8,782.56, 13,159.26 and 7,139.88

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Solution

The fourth proportional to 8,782.56, 13,159.26 and 7,139.88 is: 10,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.56 : 13,159.26 = 7,139.88 : x
  2. Step 2: Convert to fraction form
    8,782.56/13,159.26 = 7,139.88/x
  3. Step 3: Cross multiply
    8,782.56x = 13,159.26 × 7,139.88
  4. Step 4: Simplify right side
    8,782.56x = 93,955,537.29
  5. Step 5: Solve for x
    x = 93,955,537.29/8,782.56
  6. Step 6: Final answer
    x = 10,697.97

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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.