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Finding the Fourth Proportional to 10,536.59, 15,809.13 and 4,689.20

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Solution

The fourth proportional to 10,536.59, 15,809.13 and 4,689.20 is: 7,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.59 : 15,809.13 = 4,689.20 : x
  2. Step 2: Convert to fraction form
    10,536.59/15,809.13 = 4,689.20/x
  3. Step 3: Cross multiply
    10,536.59x = 15,809.13 × 4,689.20
  4. Step 4: Simplify right side
    10,536.59x = 74,132,093.35
  5. Step 5: Solve for x
    x = 74,132,093.35/10,536.59
  6. Step 6: Final answer
    x = 7,035.69

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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.