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Finding the Fourth Proportional to 7,897.20, 10,897.92 and 4,360.16

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Solution

The fourth proportional to 7,897.20, 10,897.92 and 4,360.16 is: 6,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.20 : 10,897.92 = 4,360.16 : x
  2. Step 2: Convert to fraction form
    7,897.20/10,897.92 = 4,360.16/x
  3. Step 3: Cross multiply
    7,897.20x = 10,897.92 × 4,360.16
  4. Step 4: Simplify right side
    7,897.20x = 47,516,620.38
  5. Step 5: Solve for x
    x = 47,516,620.38/7,897.20
  6. Step 6: Final answer
    x = 6,016.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.