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Finding the Fourth Proportional to 7,378.08, 11,066.88 and 2,184

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Solution

The fourth proportional to 7,378.08, 11,066.88 and 2,184 is: 3,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.08 : 11,066.88 = 2,184 : x
  2. Step 2: Convert to fraction form
    7,378.08/11,066.88 = 2,184/x
  3. Step 3: Cross multiply
    7,378.08x = 11,066.88 × 2,184
  4. Step 4: Simplify right side
    7,378.08x = 24,170,065.92
  5. Step 5: Solve for x
    x = 24,170,065.92/7,378.08
  6. Step 6: Final answer
    x = 3,275.93

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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.