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Finding the Fourth Proportional to 10,508.16, 15,772.08 and 5,317.68

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Solution

The fourth proportional to 10,508.16, 15,772.08 and 5,317.68 is: 7,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.16 : 15,772.08 = 5,317.68 : x
  2. Step 2: Convert to fraction form
    10,508.16/15,772.08 = 5,317.68/x
  3. Step 3: Cross multiply
    10,508.16x = 15,772.08 × 5,317.68
  4. Step 4: Simplify right side
    10,508.16x = 83,870,874.37
  5. Step 5: Solve for x
    x = 83,870,874.37/10,508.16
  6. Step 6: Final answer
    x = 7,981.50

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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.