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Finding the Fourth Proportional to 4,011.71, 6,018.47 and 1,414.64

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Solution

The fourth proportional to 4,011.71, 6,018.47 and 1,414.64 is: 2,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.71 : 6,018.47 = 1,414.64 : x
  2. Step 2: Convert to fraction form
    4,011.71/6,018.47 = 1,414.64/x
  3. Step 3: Cross multiply
    4,011.71x = 6,018.47 × 1,414.64
  4. Step 4: Simplify right side
    4,011.71x = 8,513,931.24
  5. Step 5: Solve for x
    x = 8,513,931.24/4,011.71
  6. Step 6: Final answer
    x = 2,122.27

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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.