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Finding the Fourth Proportional to 4,007.13, 6,011.90 and 1,410.06

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Solution

The fourth proportional to 4,007.13, 6,011.90 and 1,410.06 is: 2,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.13 : 6,011.90 = 1,410.06 : x
  2. Step 2: Convert to fraction form
    4,007.13/6,011.90 = 1,410.06/x
  3. Step 3: Cross multiply
    4,007.13x = 6,011.90 × 1,410.06
  4. Step 4: Simplify right side
    4,007.13x = 8,477,139.71
  5. Step 5: Solve for x
    x = 8,477,139.71/4,007.13
  6. Step 6: Final answer
    x = 2,115.51

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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.