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Finding the Fourth Proportional to 10,690.84, 16,036.14 and 4,843.40

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Solution

The fourth proportional to 10,690.84, 16,036.14 and 4,843.40 is: 7,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.84 : 16,036.14 = 4,843.40 : x
  2. Step 2: Convert to fraction form
    10,690.84/16,036.14 = 4,843.40/x
  3. Step 3: Cross multiply
    10,690.84x = 16,036.14 × 4,843.40
  4. Step 4: Simplify right side
    10,690.84x = 77,669,440.48
  5. Step 5: Solve for x
    x = 77,669,440.48/10,690.84
  6. Step 6: Final answer
    x = 7,265.05

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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.