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Finding the Fourth Proportional to 7,871.19, 11,811.33 and 7,262.25

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Solution

The fourth proportional to 7,871.19, 11,811.33 and 7,262.25 is: 10,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.19 : 11,811.33 = 7,262.25 : x
  2. Step 2: Convert to fraction form
    7,871.19/11,811.33 = 7,262.25/x
  3. Step 3: Cross multiply
    7,871.19x = 11,811.33 × 7,262.25
  4. Step 4: Simplify right side
    7,871.19x = 85,776,831.29
  5. Step 5: Solve for x
    x = 85,776,831.29/7,871.19
  6. Step 6: Final answer
    x = 10,897.57

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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.