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Finding the Fourth Proportional to 7,897.91, 11,852.98 and 2,972.03

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Solution

The fourth proportional to 7,897.91, 11,852.98 and 2,972.03 is: 4,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.91 : 11,852.98 = 2,972.03 : x
  2. Step 2: Convert to fraction form
    7,897.91/11,852.98 = 2,972.03/x
  3. Step 3: Cross multiply
    7,897.91x = 11,852.98 × 2,972.03
  4. Step 4: Simplify right side
    7,897.91x = 35,227,345.45
  5. Step 5: Solve for x
    x = 35,227,345.45/7,897.91
  6. Step 6: Final answer
    x = 4,460.34

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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.