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Finding the Fourth Proportional to 10,443.66, 15,663.82 and 3,046.39

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Solution

The fourth proportional to 10,443.66, 15,663.82 and 3,046.39 is: 4,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.66 : 15,663.82 = 3,046.39 : x
  2. Step 2: Convert to fraction form
    10,443.66/15,663.82 = 3,046.39/x
  3. Step 3: Cross multiply
    10,443.66x = 15,663.82 × 3,046.39
  4. Step 4: Simplify right side
    10,443.66x = 47,718,104.61
  5. Step 5: Solve for x
    x = 47,718,104.61/10,443.66
  6. Step 6: Final answer
    x = 4,569.10

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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.