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Finding the Fourth Proportional to 8,362.95, 12,548.82 and 3,686.16

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Solution

The fourth proportional to 8,362.95, 12,548.82 and 3,686.16 is: 5,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.95 : 12,548.82 = 3,686.16 : x
  2. Step 2: Convert to fraction form
    8,362.95/12,548.82 = 3,686.16/x
  3. Step 3: Cross multiply
    8,362.95x = 12,548.82 × 3,686.16
  4. Step 4: Simplify right side
    8,362.95x = 46,257,004.71
  5. Step 5: Solve for x
    x = 46,257,004.71/8,362.95
  6. Step 6: Final answer
    x = 5,531.18

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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.