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Finding the Fourth Proportional to 10,012.16, 13,816.08 and 5,762.96

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Solution

The fourth proportional to 10,012.16, 13,816.08 and 5,762.96 is: 7,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.16 : 13,816.08 = 5,762.96 : x
  2. Step 2: Convert to fraction form
    10,012.16/13,816.08 = 5,762.96/x
  3. Step 3: Cross multiply
    10,012.16x = 13,816.08 × 5,762.96
  4. Step 4: Simplify right side
    10,012.16x = 79,621,516.40
  5. Step 5: Solve for x
    x = 79,621,516.40/10,012.16
  6. Step 6: Final answer
    x = 7,952.48

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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.