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Finding the Fourth Proportional to 10,480.30, 15,718.02 and 4,633.72

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Solution

The fourth proportional to 10,480.30, 15,718.02 and 4,633.72 is: 6,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.30 : 15,718.02 = 4,633.72 : x
  2. Step 2: Convert to fraction form
    10,480.30/15,718.02 = 4,633.72/x
  3. Step 3: Cross multiply
    10,480.30x = 15,718.02 × 4,633.72
  4. Step 4: Simplify right side
    10,480.30x = 72,832,903.63
  5. Step 5: Solve for x
    x = 72,832,903.63/10,480.30
  6. Step 6: Final answer
    x = 6,949.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.