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Finding the Fourth Proportional to 8,097.60, 10,897.20 and 8,097.60

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Solution

The fourth proportional to 8,097.60, 10,897.20 and 8,097.60 is: 10,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.60 : 10,897.20 = 8,097.60 : x
  2. Step 2: Convert to fraction form
    8,097.60/10,897.20 = 8,097.60/x
  3. Step 3: Cross multiply
    8,097.60x = 10,897.20 × 8,097.60
  4. Step 4: Simplify right side
    8,097.60x = 88,241,166.72
  5. Step 5: Solve for x
    x = 88,241,166.72/8,097.60
  6. Step 6: Final answer
    x = 10,897.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.