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Finding the Fourth Proportional to 8,578, 12,864.44 and 3,312.08

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Solution

The fourth proportional to 8,578, 12,864.44 and 3,312.08 is: 4,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578 : 12,864.44 = 3,312.08 : x
  2. Step 2: Convert to fraction form
    8,578/12,864.44 = 3,312.08/x
  3. Step 3: Cross multiply
    8,578x = 12,864.44 × 3,312.08
  4. Step 4: Simplify right side
    8,578x = 42,608,054.44
  5. Step 5: Solve for x
    x = 42,608,054.44/8,578
  6. Step 6: Final answer
    x = 4,967.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.