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Finding the Fourth Proportional to 7,766.47, 11,652.34 and 3,386.80

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Solution

The fourth proportional to 7,766.47, 11,652.34 and 3,386.80 is: 5,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.47 : 11,652.34 = 3,386.80 : x
  2. Step 2: Convert to fraction form
    7,766.47/11,652.34 = 3,386.80/x
  3. Step 3: Cross multiply
    7,766.47x = 11,652.34 × 3,386.80
  4. Step 4: Simplify right side
    7,766.47x = 39,464,145.11
  5. Step 5: Solve for x
    x = 39,464,145.11/7,766.47
  6. Step 6: Final answer
    x = 5,081.35

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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.