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Finding the Fourth Proportional to 7,714.74, 10,646.30 and 4,358.28

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Solution

The fourth proportional to 7,714.74, 10,646.30 and 4,358.28 is: 6,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.74 : 10,646.30 = 4,358.28 : x
  2. Step 2: Convert to fraction form
    7,714.74/10,646.30 = 4,358.28/x
  3. Step 3: Cross multiply
    7,714.74x = 10,646.30 × 4,358.28
  4. Step 4: Simplify right side
    7,714.74x = 46,399,556.36
  5. Step 5: Solve for x
    x = 46,399,556.36/7,714.74
  6. Step 6: Final answer
    x = 6,014.40

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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.