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Finding the Fourth Proportional to 7,818.38, 11,708.80 and 4,476.50

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Solution

The fourth proportional to 7,818.38, 11,708.80 and 4,476.50 is: 6,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.38 : 11,708.80 = 4,476.50 : x
  2. Step 2: Convert to fraction form
    7,818.38/11,708.80 = 4,476.50/x
  3. Step 3: Cross multiply
    7,818.38x = 11,708.80 × 4,476.50
  4. Step 4: Simplify right side
    7,818.38x = 52,414,443.20
  5. Step 5: Solve for x
    x = 52,414,443.20/7,818.38
  6. Step 6: Final answer
    x = 6,704.00

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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.