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Finding the Fourth Proportional to 7,807.37, 10,777.68 and 4,978.54

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Solution

The fourth proportional to 7,807.37, 10,777.68 and 4,978.54 is: 6,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.37 : 10,777.68 = 4,978.54 : x
  2. Step 2: Convert to fraction form
    7,807.37/10,777.68 = 4,978.54/x
  3. Step 3: Cross multiply
    7,807.37x = 10,777.68 × 4,978.54
  4. Step 4: Simplify right side
    7,807.37x = 53,657,057.10
  5. Step 5: Solve for x
    x = 53,657,057.10/7,807.37
  6. Step 6: Final answer
    x = 6,872.62

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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.