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Finding the Fourth Proportional to 8,252.76, 12,384.54 and 7,585.32

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Solution

The fourth proportional to 8,252.76, 12,384.54 and 7,585.32 is: 11,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.76 : 12,384.54 = 7,585.32 : x
  2. Step 2: Convert to fraction form
    8,252.76/12,384.54 = 7,585.32/x
  3. Step 3: Cross multiply
    8,252.76x = 12,384.54 × 7,585.32
  4. Step 4: Simplify right side
    8,252.76x = 93,940,698.95
  5. Step 5: Solve for x
    x = 93,940,698.95/8,252.76
  6. Step 6: Final answer
    x = 11,382.94

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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.