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Finding the Fourth Proportional to 8,113.88, 12,193.54 and 4,827.48

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Solution

The fourth proportional to 8,113.88, 12,193.54 and 4,827.48 is: 7,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.88 : 12,193.54 = 4,827.48 : x
  2. Step 2: Convert to fraction form
    8,113.88/12,193.54 = 4,827.48/x
  3. Step 3: Cross multiply
    8,113.88x = 12,193.54 × 4,827.48
  4. Step 4: Simplify right side
    8,113.88x = 58,864,070.48
  5. Step 5: Solve for x
    x = 58,864,070.48/8,113.88
  6. Step 6: Final answer
    x = 7,254.74

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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.