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Finding the Fourth Proportional to 10,515.71, 14,511.65 and 6,039.75

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Solution

The fourth proportional to 10,515.71, 14,511.65 and 6,039.75 is: 8,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.71 : 14,511.65 = 6,039.75 : x
  2. Step 2: Convert to fraction form
    10,515.71/14,511.65 = 6,039.75/x
  3. Step 3: Cross multiply
    10,515.71x = 14,511.65 × 6,039.75
  4. Step 4: Simplify right side
    10,515.71x = 87,646,707.89
  5. Step 5: Solve for x
    x = 87,646,707.89/10,515.71
  6. Step 6: Final answer
    x = 8,334.84

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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.