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Finding the Fourth Proportional to 10,206.96, 15,307.92 and 2,811.08

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Solution

The fourth proportional to 10,206.96, 15,307.92 and 2,811.08 is: 4,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.96 : 15,307.92 = 2,811.08 : x
  2. Step 2: Convert to fraction form
    10,206.96/15,307.92 = 2,811.08/x
  3. Step 3: Cross multiply
    10,206.96x = 15,307.92 × 2,811.08
  4. Step 4: Simplify right side
    10,206.96x = 43,031,787.75
  5. Step 5: Solve for x
    x = 43,031,787.75/10,206.96
  6. Step 6: Final answer
    x = 4,215.93

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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.