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Finding the Fourth Proportional to 11,390.13, 15,718.41 and 6,354.23

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Solution

The fourth proportional to 11,390.13, 15,718.41 and 6,354.23 is: 8,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.13 : 15,718.41 = 6,354.23 : x
  2. Step 2: Convert to fraction form
    11,390.13/15,718.41 = 6,354.23/x
  3. Step 3: Cross multiply
    11,390.13x = 15,718.41 × 6,354.23
  4. Step 4: Simplify right side
    11,390.13x = 99,878,392.37
  5. Step 5: Solve for x
    x = 99,878,392.37/11,390.13
  6. Step 6: Final answer
    x = 8,768.85

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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.