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Finding the Fourth Proportional to 6,117.77, 8,438.71 and 5,093.11

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Solution

The fourth proportional to 6,117.77, 8,438.71 and 5,093.11 is: 7,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.77 : 8,438.71 = 5,093.11 : x
  2. Step 2: Convert to fraction form
    6,117.77/8,438.71 = 5,093.11/x
  3. Step 3: Cross multiply
    6,117.77x = 8,438.71 × 5,093.11
  4. Step 4: Simplify right side
    6,117.77x = 42,979,278.29
  5. Step 5: Solve for x
    x = 42,979,278.29/6,117.77
  6. Step 6: Final answer
    x = 7,025.32

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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.