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Finding the Fourth Proportional to 7,459.86, 10,294.60 and 4,274.19

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Solution

The fourth proportional to 7,459.86, 10,294.60 and 4,274.19 is: 5,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.86 : 10,294.60 = 4,274.19 : x
  2. Step 2: Convert to fraction form
    7,459.86/10,294.60 = 4,274.19/x
  3. Step 3: Cross multiply
    7,459.86x = 10,294.60 × 4,274.19
  4. Step 4: Simplify right side
    7,459.86x = 44,001,120.32
  5. Step 5: Solve for x
    x = 44,001,120.32/7,459.86
  6. Step 6: Final answer
    x = 5,898.38

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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.