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Finding the Fourth Proportional to 10,474.89, 15,710.72 and 6,803.16

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Solution

The fourth proportional to 10,474.89, 15,710.72 and 6,803.16 is: 10,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.89 : 15,710.72 = 6,803.16 : x
  2. Step 2: Convert to fraction form
    10,474.89/15,710.72 = 6,803.16/x
  3. Step 3: Cross multiply
    10,474.89x = 15,710.72 × 6,803.16
  4. Step 4: Simplify right side
    10,474.89x = 106,882,507.86
  5. Step 5: Solve for x
    x = 106,882,507.86/10,474.89
  6. Step 6: Final answer
    x = 10,203.69

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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.