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Finding the Fourth Proportional to 7,767.45, 10,719.12 and 4,782.54

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Solution

The fourth proportional to 7,767.45, 10,719.12 and 4,782.54 is: 6,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.45 : 10,719.12 = 4,782.54 : x
  2. Step 2: Convert to fraction form
    7,767.45/10,719.12 = 4,782.54/x
  3. Step 3: Cross multiply
    7,767.45x = 10,719.12 × 4,782.54
  4. Step 4: Simplify right side
    7,767.45x = 51,264,620.16
  5. Step 5: Solve for x
    x = 51,264,620.16/7,767.45
  6. Step 6: Final answer
    x = 6,599.93

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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.