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Finding the Fourth Proportional to 11,776.60, 16,248.22 and 9,784

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Solution

The fourth proportional to 11,776.60, 16,248.22 and 9,784 is: 13,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.60 : 16,248.22 = 9,784 : x
  2. Step 2: Convert to fraction form
    11,776.60/16,248.22 = 9,784/x
  3. Step 3: Cross multiply
    11,776.60x = 16,248.22 × 9,784
  4. Step 4: Simplify right side
    11,776.60x = 158,972,584.48
  5. Step 5: Solve for x
    x = 158,972,584.48/11,776.60
  6. Step 6: Final answer
    x = 13,499.02

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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.