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Finding the Fourth Proportional to 10,388.59, 15,582.90 and 2,597.41

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Solution

The fourth proportional to 10,388.59, 15,582.90 and 2,597.41 is: 3,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.59 : 15,582.90 = 2,597.41 : x
  2. Step 2: Convert to fraction form
    10,388.59/15,582.90 = 2,597.41/x
  3. Step 3: Cross multiply
    10,388.59x = 15,582.90 × 2,597.41
  4. Step 4: Simplify right side
    10,388.59x = 40,475,180.29
  5. Step 5: Solve for x
    x = 40,475,180.29/10,388.59
  6. Step 6: Final answer
    x = 3,896.12

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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.