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Finding the Fourth Proportional to 5,065.86, 7,562.16 and 4,376.97

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Solution

The fourth proportional to 5,065.86, 7,562.16 and 4,376.97 is: 6,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.86 : 7,562.16 = 4,376.97 : x
  2. Step 2: Convert to fraction form
    5,065.86/7,562.16 = 4,376.97/x
  3. Step 3: Cross multiply
    5,065.86x = 7,562.16 × 4,376.97
  4. Step 4: Simplify right side
    5,065.86x = 33,099,347.46
  5. Step 5: Solve for x
    x = 33,099,347.46/5,065.86
  6. Step 6: Final answer
    x = 6,533.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.