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Finding the Fourth Proportional to 6,011.57, 8,291.70 and 4,308.53

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Solution

The fourth proportional to 6,011.57, 8,291.70 and 4,308.53 is: 5,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.57 : 8,291.70 = 4,308.53 : x
  2. Step 2: Convert to fraction form
    6,011.57/8,291.70 = 4,308.53/x
  3. Step 3: Cross multiply
    6,011.57x = 8,291.70 × 4,308.53
  4. Step 4: Simplify right side
    6,011.57x = 35,725,038.20
  5. Step 5: Solve for x
    x = 35,725,038.20/6,011.57
  6. Step 6: Final answer
    x = 5,942.71

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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.