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Finding the Fourth Proportional to 10,726.02, 14,793.14 and 7,549.83

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Solution

The fourth proportional to 10,726.02, 14,793.14 and 7,549.83 is: 10,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.02 : 14,793.14 = 7,549.83 : x
  2. Step 2: Convert to fraction form
    10,726.02/14,793.14 = 7,549.83/x
  3. Step 3: Cross multiply
    10,726.02x = 14,793.14 × 7,549.83
  4. Step 4: Simplify right side
    10,726.02x = 111,685,654.42
  5. Step 5: Solve for x
    x = 111,685,654.42/10,726.02
  6. Step 6: Final answer
    x = 10,412.59

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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.