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Finding the Fourth Proportional to 7,308.98, 10,074.54 and 5,712.81

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Solution

The fourth proportional to 7,308.98, 10,074.54 and 5,712.81 is: 7,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.98 : 10,074.54 = 5,712.81 : x
  2. Step 2: Convert to fraction form
    7,308.98/10,074.54 = 5,712.81/x
  3. Step 3: Cross multiply
    7,308.98x = 10,074.54 × 5,712.81
  4. Step 4: Simplify right side
    7,308.98x = 57,553,932.86
  5. Step 5: Solve for x
    x = 57,553,932.86/7,308.98
  6. Step 6: Final answer
    x = 7,874.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.