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Finding the Fourth Proportional to 10,741.84, 16,117.40 and 5,814.98

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Solution

The fourth proportional to 10,741.84, 16,117.40 and 5,814.98 is: 8,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.84 : 16,117.40 = 5,814.98 : x
  2. Step 2: Convert to fraction form
    10,741.84/16,117.40 = 5,814.98/x
  3. Step 3: Cross multiply
    10,741.84x = 16,117.40 × 5,814.98
  4. Step 4: Simplify right side
    10,741.84x = 93,722,358.65
  5. Step 5: Solve for x
    x = 93,722,358.65/10,741.84
  6. Step 6: Final answer
    x = 8,724.98

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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.