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Finding the Fourth Proportional to 8,324, 11,487.12 and 4,598

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Solution

The fourth proportional to 8,324, 11,487.12 and 4,598 is: 6,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324 : 11,487.12 = 4,598 : x
  2. Step 2: Convert to fraction form
    8,324/11,487.12 = 4,598/x
  3. Step 3: Cross multiply
    8,324x = 11,487.12 × 4,598
  4. Step 4: Simplify right side
    8,324x = 52,817,777.76
  5. Step 5: Solve for x
    x = 52,817,777.76/8,324
  6. Step 6: Final answer
    x = 6,345.24

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Why These Related Problems?

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