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Finding the Fourth Proportional to 10,323.71, 14,246.63 and 5,607.99

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Solution

The fourth proportional to 10,323.71, 14,246.63 and 5,607.99 is: 7,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.71 : 14,246.63 = 5,607.99 : x
  2. Step 2: Convert to fraction form
    10,323.71/14,246.63 = 5,607.99/x
  3. Step 3: Cross multiply
    10,323.71x = 14,246.63 × 5,607.99
  4. Step 4: Simplify right side
    10,323.71x = 79,894,958.57
  5. Step 5: Solve for x
    x = 79,894,958.57/10,323.71
  6. Step 6: Final answer
    x = 7,738.98

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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.