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Finding the Fourth Proportional to 10,521.68, 15,777.10 and 3,499.16

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Solution

The fourth proportional to 10,521.68, 15,777.10 and 3,499.16 is: 5,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.68 : 15,777.10 = 3,499.16 : x
  2. Step 2: Convert to fraction form
    10,521.68/15,777.10 = 3,499.16/x
  3. Step 3: Cross multiply
    10,521.68x = 15,777.10 × 3,499.16
  4. Step 4: Simplify right side
    10,521.68x = 55,206,597.24
  5. Step 5: Solve for x
    x = 55,206,597.24/10,521.68
  6. Step 6: Final answer
    x = 5,246.94

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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.