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Finding the Fourth Proportional to 8,398.64, 11,588.02 and 5,410.88

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Solution

The fourth proportional to 8,398.64, 11,588.02 and 5,410.88 is: 7,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.64 : 11,588.02 = 5,410.88 : x
  2. Step 2: Convert to fraction form
    8,398.64/11,588.02 = 5,410.88/x
  3. Step 3: Cross multiply
    8,398.64x = 11,588.02 × 5,410.88
  4. Step 4: Simplify right side
    8,398.64x = 62,701,385.66
  5. Step 5: Solve for x
    x = 62,701,385.66/8,398.64
  6. Step 6: Final answer
    x = 7,465.66

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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.