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Finding the Fourth Proportional to 10,671.12, 14,723.64 and 6,478.56

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Solution

The fourth proportional to 10,671.12, 14,723.64 and 6,478.56 is: 8,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.12 : 14,723.64 = 6,478.56 : x
  2. Step 2: Convert to fraction form
    10,671.12/14,723.64 = 6,478.56/x
  3. Step 3: Cross multiply
    10,671.12x = 14,723.64 × 6,478.56
  4. Step 4: Simplify right side
    10,671.12x = 95,387,985.16
  5. Step 5: Solve for x
    x = 95,387,985.16/10,671.12
  6. Step 6: Final answer
    x = 8,938.89

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Why These Related Problems?

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