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Finding the Fourth Proportional to 10,712.76, 14,775.30 and 8,188.53

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Solution

The fourth proportional to 10,712.76, 14,775.30 and 8,188.53 is: 11,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.76 : 14,775.30 = 8,188.53 : x
  2. Step 2: Convert to fraction form
    10,712.76/14,775.30 = 8,188.53/x
  3. Step 3: Cross multiply
    10,712.76x = 14,775.30 × 8,188.53
  4. Step 4: Simplify right side
    10,712.76x = 120,987,987.31
  5. Step 5: Solve for x
    x = 120,987,987.31/10,712.76
  6. Step 6: Final answer
    x = 11,293.82

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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.