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Finding the Fourth Proportional to 10,895.02, 15,034.52 and 6,417.74

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Solution

The fourth proportional to 10,895.02, 15,034.52 and 6,417.74 is: 8,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.02 : 15,034.52 = 6,417.74 : x
  2. Step 2: Convert to fraction form
    10,895.02/15,034.52 = 6,417.74/x
  3. Step 3: Cross multiply
    10,895.02x = 15,034.52 × 6,417.74
  4. Step 4: Simplify right side
    10,895.02x = 96,487,640.38
  5. Step 5: Solve for x
    x = 96,487,640.38/10,895.02
  6. Step 6: Final answer
    x = 8,856.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.