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Finding the Fourth Proportional to 10,882.46, 15,017.65 and 6,406.40

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Solution

The fourth proportional to 10,882.46, 15,017.65 and 6,406.40 is: 8,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.46 : 15,017.65 = 6,406.40 : x
  2. Step 2: Convert to fraction form
    10,882.46/15,017.65 = 6,406.40/x
  3. Step 3: Cross multiply
    10,882.46x = 15,017.65 × 6,406.40
  4. Step 4: Simplify right side
    10,882.46x = 96,208,981.86
  5. Step 5: Solve for x
    x = 96,208,981.86/10,882.46
  6. Step 6: Final answer
    x = 8,840.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.