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Finding the Fourth Proportional to 7,764.43, 10,714.38 and 4,407.32

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Solution

The fourth proportional to 7,764.43, 10,714.38 and 4,407.32 is: 6,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.43 : 10,714.38 = 4,407.32 : x
  2. Step 2: Convert to fraction form
    7,764.43/10,714.38 = 4,407.32/x
  3. Step 3: Cross multiply
    7,764.43x = 10,714.38 × 4,407.32
  4. Step 4: Simplify right side
    7,764.43x = 47,221,701.26
  5. Step 5: Solve for x
    x = 47,221,701.26/7,764.43
  6. Step 6: Final answer
    x = 6,081.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.