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Finding the Fourth Proportional to 7,937.52, 11,897.64 and 5,334

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Solution

The fourth proportional to 7,937.52, 11,897.64 and 5,334 is: 7,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.52 : 11,897.64 = 5,334 : x
  2. Step 2: Convert to fraction form
    7,937.52/11,897.64 = 5,334/x
  3. Step 3: Cross multiply
    7,937.52x = 11,897.64 × 5,334
  4. Step 4: Simplify right side
    7,937.52x = 63,462,011.76
  5. Step 5: Solve for x
    x = 63,462,011.76/7,937.52
  6. Step 6: Final answer
    x = 7,995.19

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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.