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Finding the Fourth Proportional to 7,578.34, 11,368.15 and 2,314.53

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Solution

The fourth proportional to 7,578.34, 11,368.15 and 2,314.53 is: 3,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.34 : 11,368.15 = 2,314.53 : x
  2. Step 2: Convert to fraction form
    7,578.34/11,368.15 = 2,314.53/x
  3. Step 3: Cross multiply
    7,578.34x = 11,368.15 × 2,314.53
  4. Step 4: Simplify right side
    7,578.34x = 26,311,924.22
  5. Step 5: Solve for x
    x = 26,311,924.22/7,578.34
  6. Step 6: Final answer
    x = 3,471.99

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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.