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Finding the Fourth Proportional to 6,114.08, 8,428.15 and 5,038.81

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Solution

The fourth proportional to 6,114.08, 8,428.15 and 5,038.81 is: 6,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.08 : 8,428.15 = 5,038.81 : x
  2. Step 2: Convert to fraction form
    6,114.08/8,428.15 = 5,038.81/x
  3. Step 3: Cross multiply
    6,114.08x = 8,428.15 × 5,038.81
  4. Step 4: Simplify right side
    6,114.08x = 42,467,831.73
  5. Step 5: Solve for x
    x = 42,467,831.73/6,114.08
  6. Step 6: Final answer
    x = 6,945.90

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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.