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Finding the Fourth Proportional to 7,077.74, 10,617.51 and 2,332.31

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Solution

The fourth proportional to 7,077.74, 10,617.51 and 2,332.31 is: 3,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.74 : 10,617.51 = 2,332.31 : x
  2. Step 2: Convert to fraction form
    7,077.74/10,617.51 = 2,332.31/x
  3. Step 3: Cross multiply
    7,077.74x = 10,617.51 × 2,332.31
  4. Step 4: Simplify right side
    7,077.74x = 24,763,271.66
  5. Step 5: Solve for x
    x = 24,763,271.66/7,077.74
  6. Step 6: Final answer
    x = 3,498.76

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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.