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Finding the Fourth Proportional to 11,397.60, 17,094.24 and 4,000.32

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Solution

The fourth proportional to 11,397.60, 17,094.24 and 4,000.32 is: 5,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.60 : 17,094.24 = 4,000.32 : x
  2. Step 2: Convert to fraction form
    11,397.60/17,094.24 = 4,000.32/x
  3. Step 3: Cross multiply
    11,397.60x = 17,094.24 × 4,000.32
  4. Step 4: Simplify right side
    11,397.60x = 68,382,430.16
  5. Step 5: Solve for x
    x = 68,382,430.16/11,397.60
  6. Step 6: Final answer
    x = 5,999.72

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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.