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Finding the Fourth Proportional to 8,356.14, 11,532.16 and 4,772.19

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Solution

The fourth proportional to 8,356.14, 11,532.16 and 4,772.19 is: 6,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.14 : 11,532.16 = 4,772.19 : x
  2. Step 2: Convert to fraction form
    8,356.14/11,532.16 = 4,772.19/x
  3. Step 3: Cross multiply
    8,356.14x = 11,532.16 × 4,772.19
  4. Step 4: Simplify right side
    8,356.14x = 55,033,658.63
  5. Step 5: Solve for x
    x = 55,033,658.63/8,356.14
  6. Step 6: Final answer
    x = 6,586.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.