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Finding the Fourth Proportional to 8,564.95, 11,818.38 and 5,029.30

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Solution

The fourth proportional to 8,564.95, 11,818.38 and 5,029.30 is: 6,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.95 : 11,818.38 = 5,029.30 : x
  2. Step 2: Convert to fraction form
    8,564.95/11,818.38 = 5,029.30/x
  3. Step 3: Cross multiply
    8,564.95x = 11,818.38 × 5,029.30
  4. Step 4: Simplify right side
    8,564.95x = 59,438,178.53
  5. Step 5: Solve for x
    x = 59,438,178.53/8,564.95
  6. Step 6: Final answer
    x = 6,939.70

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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.