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Finding the Fourth Proportional to 10,886.94, 15,024.24 and 6,638.22

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Solution

The fourth proportional to 10,886.94, 15,024.24 and 6,638.22 is: 9,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.94 : 15,024.24 = 6,638.22 : x
  2. Step 2: Convert to fraction form
    10,886.94/15,024.24 = 6,638.22/x
  3. Step 3: Cross multiply
    10,886.94x = 15,024.24 × 6,638.22
  4. Step 4: Simplify right side
    10,886.94x = 99,734,210.45
  5. Step 5: Solve for x
    x = 99,734,210.45/10,886.94
  6. Step 6: Final answer
    x = 9,160.90

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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.