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Finding the Fourth Proportional to 7,613.00, 11,416.47 and 2,930.40

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Solution

The fourth proportional to 7,613.00, 11,416.47 and 2,930.40 is: 4,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.00 : 11,416.47 = 2,930.40 : x
  2. Step 2: Convert to fraction form
    7,613.00/11,416.47 = 2,930.40/x
  3. Step 3: Cross multiply
    7,613.00x = 11,416.47 × 2,930.40
  4. Step 4: Simplify right side
    7,613.00x = 33,454,823.69
  5. Step 5: Solve for x
    x = 33,454,823.69/7,613.00
  6. Step 6: Final answer
    x = 4,394.44

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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.