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Finding the Fourth Proportional to 7,714.60, 11,553.26 and 4,417.70

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Solution

The fourth proportional to 7,714.60, 11,553.26 and 4,417.70 is: 6,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.60 : 11,553.26 = 4,417.70 : x
  2. Step 2: Convert to fraction form
    7,714.60/11,553.26 = 4,417.70/x
  3. Step 3: Cross multiply
    7,714.60x = 11,553.26 × 4,417.70
  4. Step 4: Simplify right side
    7,714.60x = 51,038,836.70
  5. Step 5: Solve for x
    x = 51,038,836.70/7,714.60
  6. Step 6: Final answer
    x = 6,615.88

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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.