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Finding the Fourth Proportional to 11,474.12, 17,211.18 and 4,547

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Solution

The fourth proportional to 11,474.12, 17,211.18 and 4,547 is: 6,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.12 : 17,211.18 = 4,547 : x
  2. Step 2: Convert to fraction form
    11,474.12/17,211.18 = 4,547/x
  3. Step 3: Cross multiply
    11,474.12x = 17,211.18 × 4,547
  4. Step 4: Simplify right side
    11,474.12x = 78,259,235.46
  5. Step 5: Solve for x
    x = 78,259,235.46/11,474.12
  6. Step 6: Final answer
    x = 6,820.50

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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.