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Finding the Fourth Proportional to 8,685.34, 13,045.43 and 5,182.19

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Solution

The fourth proportional to 8,685.34, 13,045.43 and 5,182.19 is: 7,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.34 : 13,045.43 = 5,182.19 : x
  2. Step 2: Convert to fraction form
    8,685.34/13,045.43 = 5,182.19/x
  3. Step 3: Cross multiply
    8,685.34x = 13,045.43 × 5,182.19
  4. Step 4: Simplify right side
    8,685.34x = 67,603,844.62
  5. Step 5: Solve for x
    x = 67,603,844.62/8,685.34
  6. Step 6: Final answer
    x = 7,783.68

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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.