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Finding the Fourth Proportional to 11,585.34, 15,975.09 and 8,606.70

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Solution

The fourth proportional to 11,585.34, 15,975.09 and 8,606.70 is: 11,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.34 : 15,975.09 = 8,606.70 : x
  2. Step 2: Convert to fraction form
    11,585.34/15,975.09 = 8,606.70/x
  3. Step 3: Cross multiply
    11,585.34x = 15,975.09 × 8,606.70
  4. Step 4: Simplify right side
    11,585.34x = 137,492,807.10
  5. Step 5: Solve for x
    x = 137,492,807.10/11,585.34
  6. Step 6: Final answer
    x = 11,867.83

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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.