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Finding the Fourth Proportional to 11,354.84, 15,669.72 and 6,319.40

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Solution

The fourth proportional to 11,354.84, 15,669.72 and 6,319.40 is: 8,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.84 : 15,669.72 = 6,319.40 : x
  2. Step 2: Convert to fraction form
    11,354.84/15,669.72 = 6,319.40/x
  3. Step 3: Cross multiply
    11,354.84x = 15,669.72 × 6,319.40
  4. Step 4: Simplify right side
    11,354.84x = 99,023,228.57
  5. Step 5: Solve for x
    x = 99,023,228.57/11,354.84
  6. Step 6: Final answer
    x = 8,720.79

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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.