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Finding the Fourth Proportional to 7,582.76, 11,376.72 and 4,627.12

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Solution

The fourth proportional to 7,582.76, 11,376.72 and 4,627.12 is: 6,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.76 : 11,376.72 = 4,627.12 : x
  2. Step 2: Convert to fraction form
    7,582.76/11,376.72 = 4,627.12/x
  3. Step 3: Cross multiply
    7,582.76x = 11,376.72 × 4,627.12
  4. Step 4: Simplify right side
    7,582.76x = 52,641,448.65
  5. Step 5: Solve for x
    x = 52,641,448.65/7,582.76
  6. Step 6: Final answer
    x = 6,942.25

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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.