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Finding the Fourth Proportional to 10,306.56, 15,460.80 and 2,911.20

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Solution

The fourth proportional to 10,306.56, 15,460.80 and 2,911.20 is: 4,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.56 : 15,460.80 = 2,911.20 : x
  2. Step 2: Convert to fraction form
    10,306.56/15,460.80 = 2,911.20/x
  3. Step 3: Cross multiply
    10,306.56x = 15,460.80 × 2,911.20
  4. Step 4: Simplify right side
    10,306.56x = 45,009,480.96
  5. Step 5: Solve for x
    x = 45,009,480.96/10,306.56
  6. Step 6: Final answer
    x = 4,367.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.