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Finding the Fourth Proportional to 10,430.81, 15,648.69 and 3,410.84

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Solution

The fourth proportional to 10,430.81, 15,648.69 and 3,410.84 is: 5,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.81 : 15,648.69 = 3,410.84 : x
  2. Step 2: Convert to fraction form
    10,430.81/15,648.69 = 3,410.84/x
  3. Step 3: Cross multiply
    10,430.81x = 15,648.69 × 3,410.84
  4. Step 4: Simplify right side
    10,430.81x = 53,375,229.71
  5. Step 5: Solve for x
    x = 53,375,229.71/10,430.81
  6. Step 6: Final answer
    x = 5,117.07

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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.