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Finding the Fourth Proportional to 10,248.68, 14,143.86 and 7,726.34

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Solution

The fourth proportional to 10,248.68, 14,143.86 and 7,726.34 is: 10,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.68 : 14,143.86 = 7,726.34 : x
  2. Step 2: Convert to fraction form
    10,248.68/14,143.86 = 7,726.34/x
  3. Step 3: Cross multiply
    10,248.68x = 14,143.86 × 7,726.34
  4. Step 4: Simplify right side
    10,248.68x = 109,280,200.55
  5. Step 5: Solve for x
    x = 109,280,200.55/10,248.68
  6. Step 6: Final answer
    x = 10,662.86

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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.