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Finding the Fourth Proportional to 10,011.37, 13,816.22 and 5,763.08

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Solution

The fourth proportional to 10,011.37, 13,816.22 and 5,763.08 is: 7,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.37 : 13,816.22 = 5,763.08 : x
  2. Step 2: Convert to fraction form
    10,011.37/13,816.22 = 5,763.08/x
  3. Step 3: Cross multiply
    10,011.37x = 13,816.22 × 5,763.08
  4. Step 4: Simplify right side
    10,011.37x = 79,623,981.16
  5. Step 5: Solve for x
    x = 79,623,981.16/10,011.37
  6. Step 6: Final answer
    x = 7,953.36

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