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Finding the Fourth Proportional to 6,124.82, 8,444.86 and 5,178.94

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Solution

The fourth proportional to 6,124.82, 8,444.86 and 5,178.94 is: 7,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.82 : 8,444.86 = 5,178.94 : x
  2. Step 2: Convert to fraction form
    6,124.82/8,444.86 = 5,178.94/x
  3. Step 3: Cross multiply
    6,124.82x = 8,444.86 × 5,178.94
  4. Step 4: Simplify right side
    6,124.82x = 43,735,389.19
  5. Step 5: Solve for x
    x = 43,735,389.19/6,124.82
  6. Step 6: Final answer
    x = 7,140.69

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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.