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Finding the Fourth Proportional to 10,292.76, 15,418.46 and 4,738.40

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Solution

The fourth proportional to 10,292.76, 15,418.46 and 4,738.40 is: 7,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.76 : 15,418.46 = 4,738.40 : x
  2. Step 2: Convert to fraction form
    10,292.76/15,418.46 = 4,738.40/x
  3. Step 3: Cross multiply
    10,292.76x = 15,418.46 × 4,738.40
  4. Step 4: Simplify right side
    10,292.76x = 73,058,830.86
  5. Step 5: Solve for x
    x = 73,058,830.86/10,292.76
  6. Step 6: Final answer
    x = 7,098.08

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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.