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Finding the Fourth Proportional to 10,406.52, 15,605.28 and 3,009.24

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Solution

The fourth proportional to 10,406.52, 15,605.28 and 3,009.24 is: 4,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.52 : 15,605.28 = 3,009.24 : x
  2. Step 2: Convert to fraction form
    10,406.52/15,605.28 = 3,009.24/x
  3. Step 3: Cross multiply
    10,406.52x = 15,605.28 × 3,009.24
  4. Step 4: Simplify right side
    10,406.52x = 46,960,032.79
  5. Step 5: Solve for x
    x = 46,960,032.79/10,406.52
  6. Step 6: Final answer
    x = 4,512.56

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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.