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Finding the Fourth Proportional to 12,381.60, 17,088.12 and 7,076.64

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Solution

The fourth proportional to 12,381.60, 17,088.12 and 7,076.64 is: 9,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.60 : 17,088.12 = 7,076.64 : x
  2. Step 2: Convert to fraction form
    12,381.60/17,088.12 = 7,076.64/x
  3. Step 3: Cross multiply
    12,381.60x = 17,088.12 × 7,076.64
  4. Step 4: Simplify right side
    12,381.60x = 120,926,473.52
  5. Step 5: Solve for x
    x = 120,926,473.52/12,381.60
  6. Step 6: Final answer
    x = 9,766.63

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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.