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Finding the Fourth Proportional to 8,766.48, 12,095.76 and 5,229

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Solution

The fourth proportional to 8,766.48, 12,095.76 and 5,229 is: 7,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.48 : 12,095.76 = 5,229 : x
  2. Step 2: Convert to fraction form
    8,766.48/12,095.76 = 5,229/x
  3. Step 3: Cross multiply
    8,766.48x = 12,095.76 × 5,229
  4. Step 4: Simplify right side
    8,766.48x = 63,248,729.04
  5. Step 5: Solve for x
    x = 63,248,729.04/8,766.48
  6. Step 6: Final answer
    x = 7,214.84

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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.