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Finding the Fourth Proportional to 7,493.16, 11,239.22 and 2,298.98

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Solution

The fourth proportional to 7,493.16, 11,239.22 and 2,298.98 is: 3,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.16 : 11,239.22 = 2,298.98 : x
  2. Step 2: Convert to fraction form
    7,493.16/11,239.22 = 2,298.98/x
  3. Step 3: Cross multiply
    7,493.16x = 11,239.22 × 2,298.98
  4. Step 4: Simplify right side
    7,493.16x = 25,838,742.00
  5. Step 5: Solve for x
    x = 25,838,742.00/7,493.16
  6. Step 6: Final answer
    x = 3,448.31

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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.