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Finding the Fourth Proportional to 8,130.78, 12,182.16 and 5,492.46

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Solution

The fourth proportional to 8,130.78, 12,182.16 and 5,492.46 is: 8,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.78 : 12,182.16 = 5,492.46 : x
  2. Step 2: Convert to fraction form
    8,130.78/12,182.16 = 5,492.46/x
  3. Step 3: Cross multiply
    8,130.78x = 12,182.16 × 5,492.46
  4. Step 4: Simplify right side
    8,130.78x = 66,910,026.51
  5. Step 5: Solve for x
    x = 66,910,026.51/8,130.78
  6. Step 6: Final answer
    x = 8,229.23

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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.