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Finding the Fourth Proportional to 11,464.96, 15,818.88 and 7,271.68

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Solution

The fourth proportional to 11,464.96, 15,818.88 and 7,271.68 is: 10,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.96 : 15,818.88 = 7,271.68 : x
  2. Step 2: Convert to fraction form
    11,464.96/15,818.88 = 7,271.68/x
  3. Step 3: Cross multiply
    11,464.96x = 15,818.88 × 7,271.68
  4. Step 4: Simplify right side
    11,464.96x = 115,029,833.32
  5. Step 5: Solve for x
    x = 115,029,833.32/11,464.96
  6. Step 6: Final answer
    x = 10,033.16

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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.