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Finding the Fourth Proportional to 8,193.84, 12,275.34 and 4,852.20

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Solution

The fourth proportional to 8,193.84, 12,275.34 and 4,852.20 is: 7,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.84 : 12,275.34 = 4,852.20 : x
  2. Step 2: Convert to fraction form
    8,193.84/12,275.34 = 4,852.20/x
  3. Step 3: Cross multiply
    8,193.84x = 12,275.34 × 4,852.20
  4. Step 4: Simplify right side
    8,193.84x = 59,562,404.75
  5. Step 5: Solve for x
    x = 59,562,404.75/8,193.84
  6. Step 6: Final answer
    x = 7,269.17

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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.