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Finding the Fourth Proportional to 8,478.53, 11,700.34 and 4,701.72

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Solution

The fourth proportional to 8,478.53, 11,700.34 and 4,701.72 is: 6,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.53 : 11,700.34 = 4,701.72 : x
  2. Step 2: Convert to fraction form
    8,478.53/11,700.34 = 4,701.72/x
  3. Step 3: Cross multiply
    8,478.53x = 11,700.34 × 4,701.72
  4. Step 4: Simplify right side
    8,478.53x = 55,011,722.58
  5. Step 5: Solve for x
    x = 55,011,722.58/8,478.53
  6. Step 6: Final answer
    x = 6,488.36

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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.