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Finding the Fourth Proportional to 10,215.50, 15,326.90 and 5,025.02

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Solution

The fourth proportional to 10,215.50, 15,326.90 and 5,025.02 is: 7,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.50 : 15,326.90 = 5,025.02 : x
  2. Step 2: Convert to fraction form
    10,215.50/15,326.90 = 5,025.02/x
  3. Step 3: Cross multiply
    10,215.50x = 15,326.90 × 5,025.02
  4. Step 4: Simplify right side
    10,215.50x = 77,017,979.04
  5. Step 5: Solve for x
    x = 77,017,979.04/10,215.50
  6. Step 6: Final answer
    x = 7,539.33

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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.