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Finding the Fourth Proportional to 11,656.71, 16,088.12 and 6,876.75

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Solution

The fourth proportional to 11,656.71, 16,088.12 and 6,876.75 is: 9,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.71 : 16,088.12 = 6,876.75 : x
  2. Step 2: Convert to fraction form
    11,656.71/16,088.12 = 6,876.75/x
  3. Step 3: Cross multiply
    11,656.71x = 16,088.12 × 6,876.75
  4. Step 4: Simplify right side
    11,656.71x = 110,633,940.45
  5. Step 5: Solve for x
    x = 110,633,940.45/11,656.71
  6. Step 6: Final answer
    x = 9,491.01

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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.