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Finding the Fourth Proportional to 10,406.48, 15,610.19 and 3,386.48

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Solution

The fourth proportional to 10,406.48, 15,610.19 and 3,386.48 is: 5,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.48 : 15,610.19 = 3,386.48 : x
  2. Step 2: Convert to fraction form
    10,406.48/15,610.19 = 3,386.48/x
  3. Step 3: Cross multiply
    10,406.48x = 15,610.19 × 3,386.48
  4. Step 4: Simplify right side
    10,406.48x = 52,863,501.25
  5. Step 5: Solve for x
    x = 52,863,501.25/10,406.48
  6. Step 6: Final answer
    x = 5,079.87

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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.