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Finding the Fourth Proportional to 10,597.04, 15,897 and 3,672.08

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Solution

The fourth proportional to 10,597.04, 15,897 and 3,672.08 is: 5,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.04 : 15,897 = 3,672.08 : x
  2. Step 2: Convert to fraction form
    10,597.04/15,897 = 3,672.08/x
  3. Step 3: Cross multiply
    10,597.04x = 15,897 × 3,672.08
  4. Step 4: Simplify right side
    10,597.04x = 58,375,055.76
  5. Step 5: Solve for x
    x = 58,375,055.76/10,597.04
  6. Step 6: Final answer
    x = 5,508.62

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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.