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Finding the Fourth Proportional to 10,014.88, 15,023.28 and 4,468

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Solution

The fourth proportional to 10,014.88, 15,023.28 and 4,468 is: 6,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.88 : 15,023.28 = 4,468 : x
  2. Step 2: Convert to fraction form
    10,014.88/15,023.28 = 4,468/x
  3. Step 3: Cross multiply
    10,014.88x = 15,023.28 × 4,468
  4. Step 4: Simplify right side
    10,014.88x = 67,124,015.04
  5. Step 5: Solve for x
    x = 67,124,015.04/10,014.88
  6. Step 6: Final answer
    x = 6,702.43

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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.