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Finding the Fourth Proportional to 10,261.40, 15,398.02 and 4,337.80

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Solution

The fourth proportional to 10,261.40, 15,398.02 and 4,337.80 is: 6,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.40 : 15,398.02 = 4,337.80 : x
  2. Step 2: Convert to fraction form
    10,261.40/15,398.02 = 4,337.80/x
  3. Step 3: Cross multiply
    10,261.40x = 15,398.02 × 4,337.80
  4. Step 4: Simplify right side
    10,261.40x = 66,793,531.16
  5. Step 5: Solve for x
    x = 66,793,531.16/10,261.40
  6. Step 6: Final answer
    x = 6,509.20

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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.