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Finding the Fourth Proportional to 6,817.61, 10,225.27 and 1,887.74

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Solution

The fourth proportional to 6,817.61, 10,225.27 and 1,887.74 is: 2,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.61 : 10,225.27 = 1,887.74 : x
  2. Step 2: Convert to fraction form
    6,817.61/10,225.27 = 1,887.74/x
  3. Step 3: Cross multiply
    6,817.61x = 10,225.27 × 1,887.74
  4. Step 4: Simplify right side
    6,817.61x = 19,302,672.03
  5. Step 5: Solve for x
    x = 19,302,672.03/6,817.61
  6. Step 6: Final answer
    x = 2,831.30

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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.