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Finding the Fourth Proportional to 10,959.39, 16,430.46 and 4,714.29

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Solution

The fourth proportional to 10,959.39, 16,430.46 and 4,714.29 is: 7,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.39 : 16,430.46 = 4,714.29 : x
  2. Step 2: Convert to fraction form
    10,959.39/16,430.46 = 4,714.29/x
  3. Step 3: Cross multiply
    10,959.39x = 16,430.46 × 4,714.29
  4. Step 4: Simplify right side
    10,959.39x = 77,457,953.27
  5. Step 5: Solve for x
    x = 77,457,953.27/10,959.39
  6. Step 6: Final answer
    x = 7,067.72

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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.