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Finding the Fourth Proportional to 8,362.34, 12,543.60 and 3,980.24

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Solution

The fourth proportional to 8,362.34, 12,543.60 and 3,980.24 is: 5,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.34 : 12,543.60 = 3,980.24 : x
  2. Step 2: Convert to fraction form
    8,362.34/12,543.60 = 3,980.24/x
  3. Step 3: Cross multiply
    8,362.34x = 12,543.60 × 3,980.24
  4. Step 4: Simplify right side
    8,362.34x = 49,926,538.46
  5. Step 5: Solve for x
    x = 49,926,538.46/8,362.34
  6. Step 6: Final answer
    x = 5,970.40

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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.