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Finding the Fourth Proportional to 7,459.49, 10,294.12 and 4,102.51

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Solution

The fourth proportional to 7,459.49, 10,294.12 and 4,102.51 is: 5,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.49 : 10,294.12 = 4,102.51 : x
  2. Step 2: Convert to fraction form
    7,459.49/10,294.12 = 4,102.51/x
  3. Step 3: Cross multiply
    7,459.49x = 10,294.12 × 4,102.51
  4. Step 4: Simplify right side
    7,459.49x = 42,231,771.38
  5. Step 5: Solve for x
    x = 42,231,771.38/7,459.49
  6. Step 6: Final answer
    x = 5,661.48

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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.