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Finding the Fourth Proportional to 12,878.76, 17,775.30 and 7,291.56

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Solution

The fourth proportional to 12,878.76, 17,775.30 and 7,291.56 is: 10,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.76 : 17,775.30 = 7,291.56 : x
  2. Step 2: Convert to fraction form
    12,878.76/17,775.30 = 7,291.56/x
  3. Step 3: Cross multiply
    12,878.76x = 17,775.30 × 7,291.56
  4. Step 4: Simplify right side
    12,878.76x = 129,609,666.47
  5. Step 5: Solve for x
    x = 129,609,666.47/12,878.76
  6. Step 6: Final answer
    x = 10,063.83

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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.