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Finding the Fourth Proportional to 6,182.61, 8,533.26 and 5,684.46

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Solution

The fourth proportional to 6,182.61, 8,533.26 and 5,684.46 is: 7,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.61 : 8,533.26 = 5,684.46 : x
  2. Step 2: Convert to fraction form
    6,182.61/8,533.26 = 5,684.46/x
  3. Step 3: Cross multiply
    6,182.61x = 8,533.26 × 5,684.46
  4. Step 4: Simplify right side
    6,182.61x = 48,506,975.14
  5. Step 5: Solve for x
    x = 48,506,975.14/6,182.61
  6. Step 6: Final answer
    x = 7,845.71

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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.