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Finding the Fourth Proportional to 10,205.79, 15,306.36 and 2,810.90

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Solution

The fourth proportional to 10,205.79, 15,306.36 and 2,810.90 is: 4,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.79 : 15,306.36 = 2,810.90 : x
  2. Step 2: Convert to fraction form
    10,205.79/15,306.36 = 2,810.90/x
  3. Step 3: Cross multiply
    10,205.79x = 15,306.36 × 2,810.90
  4. Step 4: Simplify right side
    10,205.79x = 43,024,602.03
  5. Step 5: Solve for x
    x = 43,024,602.03/10,205.79
  6. Step 6: Final answer
    x = 4,215.70

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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.