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Finding the Fourth Proportional to 11,399.08, 15,737.84 and 7,368.02

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Solution

The fourth proportional to 11,399.08, 15,737.84 and 7,368.02 is: 10,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.08 : 15,737.84 = 7,368.02 : x
  2. Step 2: Convert to fraction form
    11,399.08/15,737.84 = 7,368.02/x
  3. Step 3: Cross multiply
    11,399.08x = 15,737.84 × 7,368.02
  4. Step 4: Simplify right side
    11,399.08x = 115,956,604.35
  5. Step 5: Solve for x
    x = 115,956,604.35/11,399.08
  6. Step 6: Final answer
    x = 10,172.46

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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.