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Finding the Fourth Proportional to 8,398.39, 11,587.68 and 5,410.63

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Solution

The fourth proportional to 8,398.39, 11,587.68 and 5,410.63 is: 7,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.39 : 11,587.68 = 5,410.63 : x
  2. Step 2: Convert to fraction form
    8,398.39/11,587.68 = 5,410.63/x
  3. Step 3: Cross multiply
    8,398.39x = 11,587.68 × 5,410.63
  4. Step 4: Simplify right side
    8,398.39x = 62,696,621.99
  5. Step 5: Solve for x
    x = 62,696,621.99/8,398.39
  6. Step 6: Final answer
    x = 7,465.31

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