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Finding the Fourth Proportional to 7,076.16, 9,758.34 and 4,812.48

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Solution

The fourth proportional to 7,076.16, 9,758.34 and 4,812.48 is: 6,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.16 : 9,758.34 = 4,812.48 : x
  2. Step 2: Convert to fraction form
    7,076.16/9,758.34 = 4,812.48/x
  3. Step 3: Cross multiply
    7,076.16x = 9,758.34 × 4,812.48
  4. Step 4: Simplify right side
    7,076.16x = 46,961,816.08
  5. Step 5: Solve for x
    x = 46,961,816.08/7,076.16
  6. Step 6: Final answer
    x = 6,636.62

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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.