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Finding the Fourth Proportional to 10,817.54, 14,918.18 and 6,831.72

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Solution

The fourth proportional to 10,817.54, 14,918.18 and 6,831.72 is: 9,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.54 : 14,918.18 = 6,831.72 : x
  2. Step 2: Convert to fraction form
    10,817.54/14,918.18 = 6,831.72/x
  3. Step 3: Cross multiply
    10,817.54x = 14,918.18 × 6,831.72
  4. Step 4: Simplify right side
    10,817.54x = 101,916,828.67
  5. Step 5: Solve for x
    x = 101,916,828.67/10,817.54
  6. Step 6: Final answer
    x = 9,421.44

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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.