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Finding the Fourth Proportional to 11,475.76, 15,835.90 and 6,439.51

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Solution

The fourth proportional to 11,475.76, 15,835.90 and 6,439.51 is: 8,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.76 : 15,835.90 = 6,439.51 : x
  2. Step 2: Convert to fraction form
    11,475.76/15,835.90 = 6,439.51/x
  3. Step 3: Cross multiply
    11,475.76x = 15,835.90 × 6,439.51
  4. Step 4: Simplify right side
    11,475.76x = 101,975,436.41
  5. Step 5: Solve for x
    x = 101,975,436.41/11,475.76
  6. Step 6: Final answer
    x = 8,886.16

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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.