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Finding the Fourth Proportional to 7,437.74, 11,153.28 and 5,349

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Solution

The fourth proportional to 7,437.74, 11,153.28 and 5,349 is: 8,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.74 : 11,153.28 = 5,349 : x
  2. Step 2: Convert to fraction form
    7,437.74/11,153.28 = 5,349/x
  3. Step 3: Cross multiply
    7,437.74x = 11,153.28 × 5,349
  4. Step 4: Simplify right side
    7,437.74x = 59,658,894.72
  5. Step 5: Solve for x
    x = 59,658,894.72/7,437.74
  6. Step 6: Final answer
    x = 8,021.10

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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.