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Finding the Fourth Proportional to 10,671.29, 15,996 and 4,095.71

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Solution

The fourth proportional to 10,671.29, 15,996 and 4,095.71 is: 6,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.29 : 15,996 = 4,095.71 : x
  2. Step 2: Convert to fraction form
    10,671.29/15,996 = 4,095.71/x
  3. Step 3: Cross multiply
    10,671.29x = 15,996 × 4,095.71
  4. Step 4: Simplify right side
    10,671.29x = 65,514,977.16
  5. Step 5: Solve for x
    x = 65,514,977.16/10,671.29
  6. Step 6: Final answer
    x = 6,139.37

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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.