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Finding the Fourth Proportional to 10,092.16, 15,125.04 and 4,828.90

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Solution

The fourth proportional to 10,092.16, 15,125.04 and 4,828.90 is: 7,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.16 : 15,125.04 = 4,828.90 : x
  2. Step 2: Convert to fraction form
    10,092.16/15,125.04 = 4,828.90/x
  3. Step 3: Cross multiply
    10,092.16x = 15,125.04 × 4,828.90
  4. Step 4: Simplify right side
    10,092.16x = 73,037,305.66
  5. Step 5: Solve for x
    x = 73,037,305.66/10,092.16
  6. Step 6: Final answer
    x = 7,237.03

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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.