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Finding the Fourth Proportional to 10,534.01, 15,793.10 and 6,373.16

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Solution

The fourth proportional to 10,534.01, 15,793.10 and 6,373.16 is: 9,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.01 : 15,793.10 = 6,373.16 : x
  2. Step 2: Convert to fraction form
    10,534.01/15,793.10 = 6,373.16/x
  3. Step 3: Cross multiply
    10,534.01x = 15,793.10 × 6,373.16
  4. Step 4: Simplify right side
    10,534.01x = 100,651,842.36
  5. Step 5: Solve for x
    x = 100,651,842.36/10,534.01
  6. Step 6: Final answer
    x = 9,554.95

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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.