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Finding the Fourth Proportional to 10,256.76, 15,370.02 and 4,696.38

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Solution

The fourth proportional to 10,256.76, 15,370.02 and 4,696.38 is: 7,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.76 : 15,370.02 = 4,696.38 : x
  2. Step 2: Convert to fraction form
    10,256.76/15,370.02 = 4,696.38/x
  3. Step 3: Cross multiply
    10,256.76x = 15,370.02 × 4,696.38
  4. Step 4: Simplify right side
    10,256.76x = 72,183,454.53
  5. Step 5: Solve for x
    x = 72,183,454.53/10,256.76
  6. Step 6: Final answer
    x = 7,037.65

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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.