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Finding the Fourth Proportional to 10,323.81, 14,246.42 and 5,607.99

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Solution

The fourth proportional to 10,323.81, 14,246.42 and 5,607.99 is: 7,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.81 : 14,246.42 = 5,607.99 : x
  2. Step 2: Convert to fraction form
    10,323.81/14,246.42 = 5,607.99/x
  3. Step 3: Cross multiply
    10,323.81x = 14,246.42 × 5,607.99
  4. Step 4: Simplify right side
    10,323.81x = 79,893,752.86
  5. Step 5: Solve for x
    x = 79,893,752.86/10,323.81
  6. Step 6: Final answer
    x = 7,738.79

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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.