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Finding the Fourth Proportional to 7,642.58, 11,463.90 and 2,712.36

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Solution

The fourth proportional to 7,642.58, 11,463.90 and 2,712.36 is: 4,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.58 : 11,463.90 = 2,712.36 : x
  2. Step 2: Convert to fraction form
    7,642.58/11,463.90 = 2,712.36/x
  3. Step 3: Cross multiply
    7,642.58x = 11,463.90 × 2,712.36
  4. Step 4: Simplify right side
    7,642.58x = 31,094,223.80
  5. Step 5: Solve for x
    x = 31,094,223.80/7,642.58
  6. Step 6: Final answer
    x = 4,068.55

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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.