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Finding the Fourth Proportional to 10,483.16, 15,732.95 and 3,909.74

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Solution

The fourth proportional to 10,483.16, 15,732.95 and 3,909.74 is: 5,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.16 : 15,732.95 = 3,909.74 : x
  2. Step 2: Convert to fraction form
    10,483.16/15,732.95 = 3,909.74/x
  3. Step 3: Cross multiply
    10,483.16x = 15,732.95 × 3,909.74
  4. Step 4: Simplify right side
    10,483.16x = 61,511,645.72
  5. Step 5: Solve for x
    x = 61,511,645.72/10,483.16
  6. Step 6: Final answer
    x = 5,867.67

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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.