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Finding the Fourth Proportional to 7,566.66, 11,331 and 4,784.94

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Solution

The fourth proportional to 7,566.66, 11,331 and 4,784.94 is: 7,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.66 : 11,331 = 4,784.94 : x
  2. Step 2: Convert to fraction form
    7,566.66/11,331 = 4,784.94/x
  3. Step 3: Cross multiply
    7,566.66x = 11,331 × 4,784.94
  4. Step 4: Simplify right side
    7,566.66x = 54,218,155.14
  5. Step 5: Solve for x
    x = 54,218,155.14/7,566.66
  6. Step 6: Final answer
    x = 7,165.40

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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.