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Finding the Fourth Proportional to 10,283.81, 14,191.60 and 5,809.01

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Solution

The fourth proportional to 10,283.81, 14,191.60 and 5,809.01 is: 8,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.81 : 14,191.60 = 5,809.01 : x
  2. Step 2: Convert to fraction form
    10,283.81/14,191.60 = 5,809.01/x
  3. Step 3: Cross multiply
    10,283.81x = 14,191.60 × 5,809.01
  4. Step 4: Simplify right side
    10,283.81x = 82,439,117.27
  5. Step 5: Solve for x
    x = 82,439,117.27/10,283.81
  6. Step 6: Final answer
    x = 8,016.40

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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.