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Finding the Fourth Proportional to 7,900.25, 11,897.25 and 7,035.17

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Solution

The fourth proportional to 7,900.25, 11,897.25 and 7,035.17 is: 10,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.25 : 11,897.25 = 7,035.17 : x
  2. Step 2: Convert to fraction form
    7,900.25/11,897.25 = 7,035.17/x
  3. Step 3: Cross multiply
    7,900.25x = 11,897.25 × 7,035.17
  4. Step 4: Simplify right side
    7,900.25x = 83,699,090.41
  5. Step 5: Solve for x
    x = 83,699,090.41/7,900.25
  6. Step 6: Final answer
    x = 10,594.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.