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Finding the Fourth Proportional to 10,582.68, 15,862.86 and 4,339.92

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Solution

The fourth proportional to 10,582.68, 15,862.86 and 4,339.92 is: 6,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.68 : 15,862.86 = 4,339.92 : x
  2. Step 2: Convert to fraction form
    10,582.68/15,862.86 = 4,339.92/x
  3. Step 3: Cross multiply
    10,582.68x = 15,862.86 × 4,339.92
  4. Step 4: Simplify right side
    10,582.68x = 68,843,543.37
  5. Step 5: Solve for x
    x = 68,843,543.37/10,582.68
  6. Step 6: Final answer
    x = 6,505.30

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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.