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Finding the Fourth Proportional to 10,814.40, 14,923.38 and 6,099.60

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Solution

The fourth proportional to 10,814.40, 14,923.38 and 6,099.60 is: 8,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.40 : 14,923.38 = 6,099.60 : x
  2. Step 2: Convert to fraction form
    10,814.40/14,923.38 = 6,099.60/x
  3. Step 3: Cross multiply
    10,814.40x = 14,923.38 × 6,099.60
  4. Step 4: Simplify right side
    10,814.40x = 91,026,648.65
  5. Step 5: Solve for x
    x = 91,026,648.65/10,814.40
  6. Step 6: Final answer
    x = 8,417.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.