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Finding the Fourth Proportional to 7,459.41, 10,294.02 and 4,102.44

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Solution

The fourth proportional to 7,459.41, 10,294.02 and 4,102.44 is: 5,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.41 : 10,294.02 = 4,102.44 : x
  2. Step 2: Convert to fraction form
    7,459.41/10,294.02 = 4,102.44/x
  3. Step 3: Cross multiply
    7,459.41x = 10,294.02 × 4,102.44
  4. Step 4: Simplify right side
    7,459.41x = 42,230,599.41
  5. Step 5: Solve for x
    x = 42,230,599.41/7,459.41
  6. Step 6: Final answer
    x = 5,661.39

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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.