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Finding the Fourth Proportional to 11,585.10, 15,975.50 and 9,912.04

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Solution

The fourth proportional to 11,585.10, 15,975.50 and 9,912.04 is: 13,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.10 : 15,975.50 = 9,912.04 : x
  2. Step 2: Convert to fraction form
    11,585.10/15,975.50 = 9,912.04/x
  3. Step 3: Cross multiply
    11,585.10x = 15,975.50 × 9,912.04
  4. Step 4: Simplify right side
    11,585.10x = 158,349,795.02
  5. Step 5: Solve for x
    x = 158,349,795.02/11,585.10
  6. Step 6: Final answer
    x = 13,668.40

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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.