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Finding the Fourth Proportional to 11,376.60, 17,064.90 and 7,877.40

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Solution

The fourth proportional to 11,376.60, 17,064.90 and 7,877.40 is: 11,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.60 : 17,064.90 = 7,877.40 : x
  2. Step 2: Convert to fraction form
    11,376.60/17,064.90 = 7,877.40/x
  3. Step 3: Cross multiply
    11,376.60x = 17,064.90 × 7,877.40
  4. Step 4: Simplify right side
    11,376.60x = 134,427,043.26
  5. Step 5: Solve for x
    x = 134,427,043.26/11,376.60
  6. Step 6: Final answer
    x = 11,816.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.