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Finding the Fourth Proportional to 6,567.57, 9,852.76 and 1,887.54

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Solution

The fourth proportional to 6,567.57, 9,852.76 and 1,887.54 is: 2,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.57 : 9,852.76 = 1,887.54 : x
  2. Step 2: Convert to fraction form
    6,567.57/9,852.76 = 1,887.54/x
  3. Step 3: Cross multiply
    6,567.57x = 9,852.76 × 1,887.54
  4. Step 4: Simplify right side
    6,567.57x = 18,597,444.02
  5. Step 5: Solve for x
    x = 18,597,444.02/6,567.57
  6. Step 6: Final answer
    x = 2,831.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.