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Finding the Fourth Proportional to 8,390, 12,586.44 and 2,547.20

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Solution

The fourth proportional to 8,390, 12,586.44 and 2,547.20 is: 3,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390 : 12,586.44 = 2,547.20 : x
  2. Step 2: Convert to fraction form
    8,390/12,586.44 = 2,547.20/x
  3. Step 3: Cross multiply
    8,390x = 12,586.44 × 2,547.20
  4. Step 4: Simplify right side
    8,390x = 32,060,179.97
  5. Step 5: Solve for x
    x = 32,060,179.97/8,390
  6. Step 6: Final answer
    x = 3,821.24

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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.