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Finding the Fourth Proportional to 6,510.35, 8,981.51 and 4,119.14

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Solution

The fourth proportional to 6,510.35, 8,981.51 and 4,119.14 is: 5,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.35 : 8,981.51 = 4,119.14 : x
  2. Step 2: Convert to fraction form
    6,510.35/8,981.51 = 4,119.14/x
  3. Step 3: Cross multiply
    6,510.35x = 8,981.51 × 4,119.14
  4. Step 4: Simplify right side
    6,510.35x = 36,996,098.96
  5. Step 5: Solve for x
    x = 36,996,098.96/6,510.35
  6. Step 6: Final answer
    x = 5,682.66

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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.