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Finding the Fourth Proportional to 10,101.80, 15,156.35 and 5,173.76

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Solution

The fourth proportional to 10,101.80, 15,156.35 and 5,173.76 is: 7,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.80 : 15,156.35 = 5,173.76 : x
  2. Step 2: Convert to fraction form
    10,101.80/15,156.35 = 5,173.76/x
  3. Step 3: Cross multiply
    10,101.80x = 15,156.35 × 5,173.76
  4. Step 4: Simplify right side
    10,101.80x = 78,415,215.73
  5. Step 5: Solve for x
    x = 78,415,215.73/10,101.80
  6. Step 6: Final answer
    x = 7,762.50

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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.