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Finding the Fourth Proportional to 10,713.51, 16,069.65 and 2,816.01

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Solution

The fourth proportional to 10,713.51, 16,069.65 and 2,816.01 is: 4,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.51 : 16,069.65 = 2,816.01 : x
  2. Step 2: Convert to fraction form
    10,713.51/16,069.65 = 2,816.01/x
  3. Step 3: Cross multiply
    10,713.51x = 16,069.65 × 2,816.01
  4. Step 4: Simplify right side
    10,713.51x = 45,252,295.10
  5. Step 5: Solve for x
    x = 45,252,295.10/10,713.51
  6. Step 6: Final answer
    x = 4,223.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.