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Finding the Fourth Proportional to 10,483.64, 15,734.86 and 9,371.30

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Solution

The fourth proportional to 10,483.64, 15,734.86 and 9,371.30 is: 14,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.64 : 15,734.86 = 9,371.30 : x
  2. Step 2: Convert to fraction form
    10,483.64/15,734.86 = 9,371.30/x
  3. Step 3: Cross multiply
    10,483.64x = 15,734.86 × 9,371.30
  4. Step 4: Simplify right side
    10,483.64x = 147,456,093.52
  5. Step 5: Solve for x
    x = 147,456,093.52/10,483.64
  6. Step 6: Final answer
    x = 14,065.35

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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.