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Finding the Fourth Proportional to 12,964.48, 17,886.11 and 7,585.20

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Solution

The fourth proportional to 12,964.48, 17,886.11 and 7,585.20 is: 10,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.48 : 17,886.11 = 7,585.20 : x
  2. Step 2: Convert to fraction form
    12,964.48/17,886.11 = 7,585.20/x
  3. Step 3: Cross multiply
    12,964.48x = 17,886.11 × 7,585.20
  4. Step 4: Simplify right side
    12,964.48x = 135,669,683.65
  5. Step 5: Solve for x
    x = 135,669,683.65/12,964.48
  6. Step 6: Final answer
    x = 10,464.72

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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.