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Finding the Fourth Proportional to 8,088.52, 11,165.94 and 5,434.84

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Solution

The fourth proportional to 8,088.52, 11,165.94 and 5,434.84 is: 7,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088.52 : 11,165.94 = 5,434.84 : x
  2. Step 2: Convert to fraction form
    8,088.52/11,165.94 = 5,434.84/x
  3. Step 3: Cross multiply
    8,088.52x = 11,165.94 × 5,434.84
  4. Step 4: Simplify right side
    8,088.52x = 60,685,097.35
  5. Step 5: Solve for x
    x = 60,685,097.35/8,088.52
  6. Step 6: Final answer
    x = 7,502.62

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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.