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Finding the Fourth Proportional to 10,547.71, 15,818.10 and 3,882.67

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Solution

The fourth proportional to 10,547.71, 15,818.10 and 3,882.67 is: 5,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.71 : 15,818.10 = 3,882.67 : x
  2. Step 2: Convert to fraction form
    10,547.71/15,818.10 = 3,882.67/x
  3. Step 3: Cross multiply
    10,547.71x = 15,818.10 × 3,882.67
  4. Step 4: Simplify right side
    10,547.71x = 61,416,462.33
  5. Step 5: Solve for x
    x = 61,416,462.33/10,547.71
  6. Step 6: Final answer
    x = 5,822.73

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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.