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Finding the Fourth Proportional to 7,497.70, 11,239.87 and 3,798.03

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Solution

The fourth proportional to 7,497.70, 11,239.87 and 3,798.03 is: 5,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.70 : 11,239.87 = 3,798.03 : x
  2. Step 2: Convert to fraction form
    7,497.70/11,239.87 = 3,798.03/x
  3. Step 3: Cross multiply
    7,497.70x = 11,239.87 × 3,798.03
  4. Step 4: Simplify right side
    7,497.70x = 42,689,307.26
  5. Step 5: Solve for x
    x = 42,689,307.26/7,497.70
  6. Step 6: Final answer
    x = 5,693.65

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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.