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Finding the Fourth Proportional to 7,597.14, 11,396.04 and 2,331.76

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Solution

The fourth proportional to 7,597.14, 11,396.04 and 2,331.76 is: 3,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.14 : 11,396.04 = 2,331.76 : x
  2. Step 2: Convert to fraction form
    7,597.14/11,396.04 = 2,331.76/x
  3. Step 3: Cross multiply
    7,597.14x = 11,396.04 × 2,331.76
  4. Step 4: Simplify right side
    7,597.14x = 26,572,830.23
  5. Step 5: Solve for x
    x = 26,572,830.23/7,597.14
  6. Step 6: Final answer
    x = 3,497.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.