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Finding the Fourth Proportional to 7,148.77, 10,723.16 and 2,986.51

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Solution

The fourth proportional to 7,148.77, 10,723.16 and 2,986.51 is: 4,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.77 : 10,723.16 = 2,986.51 : x
  2. Step 2: Convert to fraction form
    7,148.77/10,723.16 = 2,986.51/x
  3. Step 3: Cross multiply
    7,148.77x = 10,723.16 × 2,986.51
  4. Step 4: Simplify right side
    7,148.77x = 32,024,801.86
  5. Step 5: Solve for x
    x = 32,024,801.86/7,148.77
  6. Step 6: Final answer
    x = 4,479.76

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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.