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Finding the Fourth Proportional to 10,406.76, 15,612.42 and 3,011.51

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Solution

The fourth proportional to 10,406.76, 15,612.42 and 3,011.51 is: 4,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.76 : 15,612.42 = 3,011.51 : x
  2. Step 2: Convert to fraction form
    10,406.76/15,612.42 = 3,011.51/x
  3. Step 3: Cross multiply
    10,406.76x = 15,612.42 × 3,011.51
  4. Step 4: Simplify right side
    10,406.76x = 47,016,880.89
  5. Step 5: Solve for x
    x = 47,016,880.89/10,406.76
  6. Step 6: Final answer
    x = 4,517.92

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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.