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Finding the Fourth Proportional to 7,078.86, 10,618.53 and 1,884.74

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Solution

The fourth proportional to 7,078.86, 10,618.53 and 1,884.74 is: 2,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.86 : 10,618.53 = 1,884.74 : x
  2. Step 2: Convert to fraction form
    7,078.86/10,618.53 = 1,884.74/x
  3. Step 3: Cross multiply
    7,078.86x = 10,618.53 × 1,884.74
  4. Step 4: Simplify right side
    7,078.86x = 20,013,168.23
  5. Step 5: Solve for x
    x = 20,013,168.23/7,078.86
  6. Step 6: Final answer
    x = 2,827.17

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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.