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Finding the Fourth Proportional to 7,714.10, 11,552.48 and 4,417.22

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Solution

The fourth proportional to 7,714.10, 11,552.48 and 4,417.22 is: 6,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.10 : 11,552.48 = 4,417.22 : x
  2. Step 2: Convert to fraction form
    7,714.10/11,552.48 = 4,417.22/x
  3. Step 3: Cross multiply
    7,714.10x = 11,552.48 × 4,417.22
  4. Step 4: Simplify right side
    7,714.10x = 51,029,845.71
  5. Step 5: Solve for x
    x = 51,029,845.71/7,714.10
  6. Step 6: Final answer
    x = 6,615.14

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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.