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Finding the Fourth Proportional to 10,220.95, 15,300.86 and 6,259.73

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Solution

The fourth proportional to 10,220.95, 15,300.86 and 6,259.73 is: 9,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.95 : 15,300.86 = 6,259.73 : x
  2. Step 2: Convert to fraction form
    10,220.95/15,300.86 = 6,259.73/x
  3. Step 3: Cross multiply
    10,220.95x = 15,300.86 × 6,259.73
  4. Step 4: Simplify right side
    10,220.95x = 95,779,306.27
  5. Step 5: Solve for x
    x = 95,779,306.27/10,220.95
  6. Step 6: Final answer
    x = 9,370.88

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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.