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Finding the Fourth Proportional to 10,933.84, 15,088.80 and 5,965.84

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Solution

The fourth proportional to 10,933.84, 15,088.80 and 5,965.84 is: 8,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.84 : 15,088.80 = 5,965.84 : x
  2. Step 2: Convert to fraction form
    10,933.84/15,088.80 = 5,965.84/x
  3. Step 3: Cross multiply
    10,933.84x = 15,088.80 × 5,965.84
  4. Step 4: Simplify right side
    10,933.84x = 90,017,366.59
  5. Step 5: Solve for x
    x = 90,017,366.59/10,933.84
  6. Step 6: Final answer
    x = 8,232.91

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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.