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Finding the Fourth Proportional to 8,295.63, 12,441.51 and 4,778.16

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Solution

The fourth proportional to 8,295.63, 12,441.51 and 4,778.16 is: 7,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.63 : 12,441.51 = 4,778.16 : x
  2. Step 2: Convert to fraction form
    8,295.63/12,441.51 = 4,778.16/x
  3. Step 3: Cross multiply
    8,295.63x = 12,441.51 × 4,778.16
  4. Step 4: Simplify right side
    8,295.63x = 59,447,525.42
  5. Step 5: Solve for x
    x = 59,447,525.42/8,295.63
  6. Step 6: Final answer
    x = 7,166.13

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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.