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Finding the Fourth Proportional to 8,488.22, 11,713.10 and 4,761.50

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Solution

The fourth proportional to 8,488.22, 11,713.10 and 4,761.50 is: 6,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.22 : 11,713.10 = 4,761.50 : x
  2. Step 2: Convert to fraction form
    8,488.22/11,713.10 = 4,761.50/x
  3. Step 3: Cross multiply
    8,488.22x = 11,713.10 × 4,761.50
  4. Step 4: Simplify right side
    8,488.22x = 55,771,925.65
  5. Step 5: Solve for x
    x = 55,771,925.65/8,488.22
  6. Step 6: Final answer
    x = 6,570.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.