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Finding the Fourth Proportional to 10,456.90, 15,680.31 and 6,075.61

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Solution

The fourth proportional to 10,456.90, 15,680.31 and 6,075.61 is: 9,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.90 : 15,680.31 = 6,075.61 : x
  2. Step 2: Convert to fraction form
    10,456.90/15,680.31 = 6,075.61/x
  3. Step 3: Cross multiply
    10,456.90x = 15,680.31 × 6,075.61
  4. Step 4: Simplify right side
    10,456.90x = 95,267,448.24
  5. Step 5: Solve for x
    x = 95,267,448.24/10,456.90
  6. Step 6: Final answer
    x = 9,110.49

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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.