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Finding the Fourth Proportional to 10,238.90, 15,354.51 and 4,392.50

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Solution

The fourth proportional to 10,238.90, 15,354.51 and 4,392.50 is: 6,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.90 : 15,354.51 = 4,392.50 : x
  2. Step 2: Convert to fraction form
    10,238.90/15,354.51 = 4,392.50/x
  3. Step 3: Cross multiply
    10,238.90x = 15,354.51 × 4,392.50
  4. Step 4: Simplify right side
    10,238.90x = 67,444,685.18
  5. Step 5: Solve for x
    x = 67,444,685.18/10,238.90
  6. Step 6: Final answer
    x = 6,587.10

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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.