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Finding the Fourth Proportional to 7,658.48, 11,488.35 and 3,275.98

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Solution

The fourth proportional to 7,658.48, 11,488.35 and 3,275.98 is: 4,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.48 : 11,488.35 = 3,275.98 : x
  2. Step 2: Convert to fraction form
    7,658.48/11,488.35 = 3,275.98/x
  3. Step 3: Cross multiply
    7,658.48x = 11,488.35 × 3,275.98
  4. Step 4: Simplify right side
    7,658.48x = 37,635,604.83
  5. Step 5: Solve for x
    x = 37,635,604.83/7,658.48
  6. Step 6: Final answer
    x = 4,914.24

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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.