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Finding the Fourth Proportional to 8,596, 11,862.66 and 4,870

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Solution

The fourth proportional to 8,596, 11,862.66 and 4,870 is: 6,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 11,862.66 = 4,870 : x
  2. Step 2: Convert to fraction form
    8,596/11,862.66 = 4,870/x
  3. Step 3: Cross multiply
    8,596x = 11,862.66 × 4,870
  4. Step 4: Simplify right side
    8,596x = 57,771,154.20
  5. Step 5: Solve for x
    x = 57,771,154.20/8,596
  6. Step 6: Final answer
    x = 6,720.70

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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.