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Finding the Fourth Proportional to 8,530.76, 11,777.58 and 5,348.78

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Solution

The fourth proportional to 8,530.76, 11,777.58 and 5,348.78 is: 7,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.76 : 11,777.58 = 5,348.78 : x
  2. Step 2: Convert to fraction form
    8,530.76/11,777.58 = 5,348.78/x
  3. Step 3: Cross multiply
    8,530.76x = 11,777.58 × 5,348.78
  4. Step 4: Simplify right side
    8,530.76x = 62,995,684.35
  5. Step 5: Solve for x
    x = 62,995,684.35/8,530.76
  6. Step 6: Final answer
    x = 7,384.53

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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.