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Finding the Fourth Proportional to 11,341.60, 17,005.44 and 4,408

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Solution

The fourth proportional to 11,341.60, 17,005.44 and 4,408 is: 6,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.60 : 17,005.44 = 4,408 : x
  2. Step 2: Convert to fraction form
    11,341.60/17,005.44 = 4,408/x
  3. Step 3: Cross multiply
    11,341.60x = 17,005.44 × 4,408
  4. Step 4: Simplify right side
    11,341.60x = 74,959,979.52
  5. Step 5: Solve for x
    x = 74,959,979.52/11,341.60
  6. Step 6: Final answer
    x = 6,609.29

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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.