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Finding the Fourth Proportional to 7,124.71, 10,690.71 and 3,228.61

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Solution

The fourth proportional to 7,124.71, 10,690.71 and 3,228.61 is: 4,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.71 : 10,690.71 = 3,228.61 : x
  2. Step 2: Convert to fraction form
    7,124.71/10,690.71 = 3,228.61/x
  3. Step 3: Cross multiply
    7,124.71x = 10,690.71 × 3,228.61
  4. Step 4: Simplify right side
    7,124.71x = 34,516,133.21
  5. Step 5: Solve for x
    x = 34,516,133.21/7,124.71
  6. Step 6: Final answer
    x = 4,844.57

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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.