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Finding the Fourth Proportional to 10,107.54, 13,948.62 and 5,632.08

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Solution

The fourth proportional to 10,107.54, 13,948.62 and 5,632.08 is: 7,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.54 : 13,948.62 = 5,632.08 : x
  2. Step 2: Convert to fraction form
    10,107.54/13,948.62 = 5,632.08/x
  3. Step 3: Cross multiply
    10,107.54x = 13,948.62 × 5,632.08
  4. Step 4: Simplify right side
    10,107.54x = 78,559,743.73
  5. Step 5: Solve for x
    x = 78,559,743.73/10,107.54
  6. Step 6: Final answer
    x = 7,772.39

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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.