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Finding the Fourth Proportional to 10,008.94, 13,811.90 and 5,759.68

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Solution

The fourth proportional to 10,008.94, 13,811.90 and 5,759.68 is: 7,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.94 : 13,811.90 = 5,759.68 : x
  2. Step 2: Convert to fraction form
    10,008.94/13,811.90 = 5,759.68/x
  3. Step 3: Cross multiply
    10,008.94x = 13,811.90 × 5,759.68
  4. Step 4: Simplify right side
    10,008.94x = 79,552,124.19
  5. Step 5: Solve for x
    x = 79,552,124.19/10,008.94
  6. Step 6: Final answer
    x = 7,948.11

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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.