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Finding the Fourth Proportional to 7,313.14, 10,088.56 and 4,794.14

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Solution

The fourth proportional to 7,313.14, 10,088.56 and 4,794.14 is: 6,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.14 : 10,088.56 = 4,794.14 : x
  2. Step 2: Convert to fraction form
    7,313.14/10,088.56 = 4,794.14/x
  3. Step 3: Cross multiply
    7,313.14x = 10,088.56 × 4,794.14
  4. Step 4: Simplify right side
    7,313.14x = 48,365,969.04
  5. Step 5: Solve for x
    x = 48,365,969.04/7,313.14
  6. Step 6: Final answer
    x = 6,613.57

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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.