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Finding the Fourth Proportional to 10,153.22, 14,007.20 and 7,911.21

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Solution

The fourth proportional to 10,153.22, 14,007.20 and 7,911.21 is: 10,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.22 : 14,007.20 = 7,911.21 : x
  2. Step 2: Convert to fraction form
    10,153.22/14,007.20 = 7,911.21/x
  3. Step 3: Cross multiply
    10,153.22x = 14,007.20 × 7,911.21
  4. Step 4: Simplify right side
    10,153.22x = 110,813,830.68
  5. Step 5: Solve for x
    x = 110,813,830.68/10,153.22
  6. Step 6: Final answer
    x = 10,914.16

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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.