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Finding the Fourth Proportional to 10,504.25, 14,496.17 and 5,788.84

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Solution

The fourth proportional to 10,504.25, 14,496.17 and 5,788.84 is: 7,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.25 : 14,496.17 = 5,788.84 : x
  2. Step 2: Convert to fraction form
    10,504.25/14,496.17 = 5,788.84/x
  3. Step 3: Cross multiply
    10,504.25x = 14,496.17 × 5,788.84
  4. Step 4: Simplify right side
    10,504.25x = 83,916,008.74
  5. Step 5: Solve for x
    x = 83,916,008.74/10,504.25
  6. Step 6: Final answer
    x = 7,988.77

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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.