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Finding the Fourth Proportional to 8,362.19, 11,547.63 and 5,383.20

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Solution

The fourth proportional to 8,362.19, 11,547.63 and 5,383.20 is: 7,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.19 : 11,547.63 = 5,383.20 : x
  2. Step 2: Convert to fraction form
    8,362.19/11,547.63 = 5,383.20/x
  3. Step 3: Cross multiply
    8,362.19x = 11,547.63 × 5,383.20
  4. Step 4: Simplify right side
    8,362.19x = 62,163,201.82
  5. Step 5: Solve for x
    x = 62,163,201.82/8,362.19
  6. Step 6: Final answer
    x = 7,433.85

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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.