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Finding the Fourth Proportional to 10,262, 15,393.72 and 4,106

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Solution

The fourth proportional to 10,262, 15,393.72 and 4,106 is: 6,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262 : 15,393.72 = 4,106 : x
  2. Step 2: Convert to fraction form
    10,262/15,393.72 = 4,106/x
  3. Step 3: Cross multiply
    10,262x = 15,393.72 × 4,106
  4. Step 4: Simplify right side
    10,262x = 63,206,614.32
  5. Step 5: Solve for x
    x = 63,206,614.32/10,262
  6. Step 6: Final answer
    x = 6,159.29

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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.