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Finding the Fourth Proportional to 7,114.91, 10,677.02 and 3,219.35

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Solution

The fourth proportional to 7,114.91, 10,677.02 and 3,219.35 is: 4,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.91 : 10,677.02 = 3,219.35 : x
  2. Step 2: Convert to fraction form
    7,114.91/10,677.02 = 3,219.35/x
  3. Step 3: Cross multiply
    7,114.91x = 10,677.02 × 3,219.35
  4. Step 4: Simplify right side
    7,114.91x = 34,372,994.86
  5. Step 5: Solve for x
    x = 34,372,994.86/7,114.91
  6. Step 6: Final answer
    x = 4,831.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.