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Finding the Fourth Proportional to 10,054.94, 13,868.96 and 6,069.20

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Solution

The fourth proportional to 10,054.94, 13,868.96 and 6,069.20 is: 8,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.94 : 13,868.96 = 6,069.20 : x
  2. Step 2: Convert to fraction form
    10,054.94/13,868.96 = 6,069.20/x
  3. Step 3: Cross multiply
    10,054.94x = 13,868.96 × 6,069.20
  4. Step 4: Simplify right side
    10,054.94x = 84,173,392.34
  5. Step 5: Solve for x
    x = 84,173,392.34/10,054.94
  6. Step 6: Final answer
    x = 8,371.35

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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.