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Finding the Fourth Proportional to 11,585.34, 17,374.59 and 5,009.94

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Solution

The fourth proportional to 11,585.34, 17,374.59 and 5,009.94 is: 7,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.34 : 17,374.59 = 5,009.94 : x
  2. Step 2: Convert to fraction form
    11,585.34/17,374.59 = 5,009.94/x
  3. Step 3: Cross multiply
    11,585.34x = 17,374.59 × 5,009.94
  4. Step 4: Simplify right side
    11,585.34x = 87,045,653.42
  5. Step 5: Solve for x
    x = 87,045,653.42/11,585.34
  6. Step 6: Final answer
    x = 7,513.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.