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Finding the Fourth Proportional to 11,807.50, 16,284.60 and 7,088.44

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Solution

The fourth proportional to 11,807.50, 16,284.60 and 7,088.44 is: 9,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.50 : 16,284.60 = 7,088.44 : x
  2. Step 2: Convert to fraction form
    11,807.50/16,284.60 = 7,088.44/x
  3. Step 3: Cross multiply
    11,807.50x = 16,284.60 × 7,088.44
  4. Step 4: Simplify right side
    11,807.50x = 115,432,410.02
  5. Step 5: Solve for x
    x = 115,432,410.02/11,807.50
  6. Step 6: Final answer
    x = 9,776.19

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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.