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Finding the Fourth Proportional to 10,088.64, 13,912.74 and 6,054.84

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Solution

The fourth proportional to 10,088.64, 13,912.74 and 6,054.84 is: 8,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.64 : 13,912.74 = 6,054.84 : x
  2. Step 2: Convert to fraction form
    10,088.64/13,912.74 = 6,054.84/x
  3. Step 3: Cross multiply
    10,088.64x = 13,912.74 × 6,054.84
  4. Step 4: Simplify right side
    10,088.64x = 84,239,414.66
  5. Step 5: Solve for x
    x = 84,239,414.66/10,088.64
  6. Step 6: Final answer
    x = 8,349.93

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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.