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Finding the Fourth Proportional to 10,145.16, 15,222.06 and 8,680.68

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Solution

The fourth proportional to 10,145.16, 15,222.06 and 8,680.68 is: 13,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.16 : 15,222.06 = 8,680.68 : x
  2. Step 2: Convert to fraction form
    10,145.16/15,222.06 = 8,680.68/x
  3. Step 3: Cross multiply
    10,145.16x = 15,222.06 × 8,680.68
  4. Step 4: Simplify right side
    10,145.16x = 132,137,831.80
  5. Step 5: Solve for x
    x = 132,137,831.80/10,145.16
  6. Step 6: Final answer
    x = 13,024.72

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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.