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Finding the Fourth Proportional to 8,208.65, 12,315 and 2,365.72

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Solution

The fourth proportional to 8,208.65, 12,315 and 2,365.72 is: 3,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.65 : 12,315 = 2,365.72 : x
  2. Step 2: Convert to fraction form
    8,208.65/12,315 = 2,365.72/x
  3. Step 3: Cross multiply
    8,208.65x = 12,315 × 2,365.72
  4. Step 4: Simplify right side
    8,208.65x = 29,133,841.80
  5. Step 5: Solve for x
    x = 29,133,841.80/8,208.65
  6. Step 6: Final answer
    x = 3,549.16

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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.