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Finding the Fourth Proportional to 10,456.68, 15,689.82 and 3,888.36

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Solution

The fourth proportional to 10,456.68, 15,689.82 and 3,888.36 is: 5,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.68 : 15,689.82 = 3,888.36 : x
  2. Step 2: Convert to fraction form
    10,456.68/15,689.82 = 3,888.36/x
  3. Step 3: Cross multiply
    10,456.68x = 15,689.82 × 3,888.36
  4. Step 4: Simplify right side
    10,456.68x = 61,007,668.50
  5. Step 5: Solve for x
    x = 61,007,668.50/10,456.68
  6. Step 6: Final answer
    x = 5,834.32

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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.