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Finding the Fourth Proportional to 10,742.33, 14,831.64 and 8,219.93

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Solution

The fourth proportional to 10,742.33, 14,831.64 and 8,219.93 is: 11,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.33 : 14,831.64 = 8,219.93 : x
  2. Step 2: Convert to fraction form
    10,742.33/14,831.64 = 8,219.93/x
  3. Step 3: Cross multiply
    10,742.33x = 14,831.64 × 8,219.93
  4. Step 4: Simplify right side
    10,742.33x = 121,915,001.49
  5. Step 5: Solve for x
    x = 121,915,001.49/10,742.33
  6. Step 6: Final answer
    x = 11,349.03

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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.