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Finding the Fourth Proportional to 11,319.96, 15,621.95 and 6,842.84

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Solution

The fourth proportional to 11,319.96, 15,621.95 and 6,842.84 is: 9,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319.96 : 15,621.95 = 6,842.84 : x
  2. Step 2: Convert to fraction form
    11,319.96/15,621.95 = 6,842.84/x
  3. Step 3: Cross multiply
    11,319.96x = 15,621.95 × 6,842.84
  4. Step 4: Simplify right side
    11,319.96x = 106,898,392.01
  5. Step 5: Solve for x
    x = 106,898,392.01/11,319.96
  6. Step 6: Final answer
    x = 9,443.35

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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.