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Finding the Fourth Proportional to 10,508.78, 14,502.30 and 6,033

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Solution

The fourth proportional to 10,508.78, 14,502.30 and 6,033 is: 8,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.78 : 14,502.30 = 6,033 : x
  2. Step 2: Convert to fraction form
    10,508.78/14,502.30 = 6,033/x
  3. Step 3: Cross multiply
    10,508.78x = 14,502.30 × 6,033
  4. Step 4: Simplify right side
    10,508.78x = 87,492,375.90
  5. Step 5: Solve for x
    x = 87,492,375.90/10,508.78
  6. Step 6: Final answer
    x = 8,325.65

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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.