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Finding the Fourth Proportional to 10,271.64, 15,401.70 and 6,989.16

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Solution

The fourth proportional to 10,271.64, 15,401.70 and 6,989.16 is: 10,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.64 : 15,401.70 = 6,989.16 : x
  2. Step 2: Convert to fraction form
    10,271.64/15,401.70 = 6,989.16/x
  3. Step 3: Cross multiply
    10,271.64x = 15,401.70 × 6,989.16
  4. Step 4: Simplify right side
    10,271.64x = 107,644,945.57
  5. Step 5: Solve for x
    x = 107,644,945.57/10,271.64
  6. Step 6: Final answer
    x = 10,479.82

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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.