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Finding the Fourth Proportional to 8,324, 11,487.84 and 4,598.72

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Solution

The fourth proportional to 8,324, 11,487.84 and 4,598.72 is: 6,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324 : 11,487.84 = 4,598.72 : x
  2. Step 2: Convert to fraction form
    8,324/11,487.84 = 4,598.72/x
  3. Step 3: Cross multiply
    8,324x = 11,487.84 × 4,598.72
  4. Step 4: Simplify right side
    8,324x = 52,829,359.56
  5. Step 5: Solve for x
    x = 52,829,359.56/8,324
  6. Step 6: Final answer
    x = 6,346.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.