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Finding the Fourth Proportional to 10,312.99, 15,474.98 and 6,161.13

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Solution

The fourth proportional to 10,312.99, 15,474.98 and 6,161.13 is: 9,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.99 : 15,474.98 = 6,161.13 : x
  2. Step 2: Convert to fraction form
    10,312.99/15,474.98 = 6,161.13/x
  3. Step 3: Cross multiply
    10,312.99x = 15,474.98 × 6,161.13
  4. Step 4: Simplify right side
    10,312.99x = 95,343,378.93
  5. Step 5: Solve for x
    x = 95,343,378.93/10,312.99
  6. Step 6: Final answer
    x = 9,244.98

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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.