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Finding the Fourth Proportional to 7,154.66, 10,720.28 and 6,881.28

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Solution

The fourth proportional to 7,154.66, 10,720.28 and 6,881.28 is: 10,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.66 : 10,720.28 = 6,881.28 : x
  2. Step 2: Convert to fraction form
    7,154.66/10,720.28 = 6,881.28/x
  3. Step 3: Cross multiply
    7,154.66x = 10,720.28 × 6,881.28
  4. Step 4: Simplify right side
    7,154.66x = 73,769,248.36
  5. Step 5: Solve for x
    x = 73,769,248.36/7,154.66
  6. Step 6: Final answer
    x = 10,310.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.