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Finding the Fourth Proportional to 10,430.65, 15,648.03 and 3,856.90

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Solution

The fourth proportional to 10,430.65, 15,648.03 and 3,856.90 is: 5,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.65 : 15,648.03 = 3,856.90 : x
  2. Step 2: Convert to fraction form
    10,430.65/15,648.03 = 3,856.90/x
  3. Step 3: Cross multiply
    10,430.65x = 15,648.03 × 3,856.90
  4. Step 4: Simplify right side
    10,430.65x = 60,352,886.91
  5. Step 5: Solve for x
    x = 60,352,886.91/10,430.65
  6. Step 6: Final answer
    x = 5,786.11

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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.