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Finding the Fourth Proportional to 10,616.18, 15,924.25 and 2,825.00

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Solution

The fourth proportional to 10,616.18, 15,924.25 and 2,825.00 is: 4,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.18 : 15,924.25 = 2,825.00 : x
  2. Step 2: Convert to fraction form
    10,616.18/15,924.25 = 2,825.00/x
  3. Step 3: Cross multiply
    10,616.18x = 15,924.25 × 2,825.00
  4. Step 4: Simplify right side
    10,616.18x = 44,985,926.63
  5. Step 5: Solve for x
    x = 44,985,926.63/10,616.18
  6. Step 6: Final answer
    x = 4,237.49

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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.