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Finding the Fourth Proportional to 11,640.64, 17,461.92 and 4,714.24

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Solution

The fourth proportional to 11,640.64, 17,461.92 and 4,714.24 is: 7,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.64 : 17,461.92 = 4,714.24 : x
  2. Step 2: Convert to fraction form
    11,640.64/17,461.92 = 4,714.24/x
  3. Step 3: Cross multiply
    11,640.64x = 17,461.92 × 4,714.24
  4. Step 4: Simplify right side
    11,640.64x = 82,319,681.74
  5. Step 5: Solve for x
    x = 82,319,681.74/11,640.64
  6. Step 6: Final answer
    x = 7,071.75

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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.