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Finding the Fourth Proportional to 11,587.62, 17,378.80 and 5,664.50

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Solution

The fourth proportional to 11,587.62, 17,378.80 and 5,664.50 is: 8,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.62 : 17,378.80 = 5,664.50 : x
  2. Step 2: Convert to fraction form
    11,587.62/17,378.80 = 5,664.50/x
  3. Step 3: Cross multiply
    11,587.62x = 17,378.80 × 5,664.50
  4. Step 4: Simplify right side
    11,587.62x = 98,442,208.58
  5. Step 5: Solve for x
    x = 98,442,208.58/11,587.62
  6. Step 6: Final answer
    x = 8,495.46

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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.