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Finding the Fourth Proportional to 10,922.84, 15,076.43 and 6,448.14

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Solution

The fourth proportional to 10,922.84, 15,076.43 and 6,448.14 is: 8,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.84 : 15,076.43 = 6,448.14 : x
  2. Step 2: Convert to fraction form
    10,922.84/15,076.43 = 6,448.14/x
  3. Step 3: Cross multiply
    10,922.84x = 15,076.43 × 6,448.14
  4. Step 4: Simplify right side
    10,922.84x = 97,214,899.10
  5. Step 5: Solve for x
    x = 97,214,899.10/10,922.84
  6. Step 6: Final answer
    x = 8,900.15

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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.