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Finding the Fourth Proportional to 10,973.04, 15,143.05 and 6,257.76

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Solution

The fourth proportional to 10,973.04, 15,143.05 and 6,257.76 is: 8,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.04 : 15,143.05 = 6,257.76 : x
  2. Step 2: Convert to fraction form
    10,973.04/15,143.05 = 6,257.76/x
  3. Step 3: Cross multiply
    10,973.04x = 15,143.05 × 6,257.76
  4. Step 4: Simplify right side
    10,973.04x = 94,761,496.85
  5. Step 5: Solve for x
    x = 94,761,496.85/10,973.04
  6. Step 6: Final answer
    x = 8,635.85

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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.