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Finding the Fourth Proportional to 7,044.93, 9,714.90 and 5,156.82

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Solution

The fourth proportional to 7,044.93, 9,714.90 and 5,156.82 is: 7,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.93 : 9,714.90 = 5,156.82 : x
  2. Step 2: Convert to fraction form
    7,044.93/9,714.90 = 5,156.82/x
  3. Step 3: Cross multiply
    7,044.93x = 9,714.90 × 5,156.82
  4. Step 4: Simplify right side
    7,044.93x = 50,097,990.62
  5. Step 5: Solve for x
    x = 50,097,990.62/7,044.93
  6. Step 6: Final answer
    x = 7,111.21

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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.