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Finding the Fourth Proportional to 7,193.25, 10,775.52 and 5,714.98

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Solution

The fourth proportional to 7,193.25, 10,775.52 and 5,714.98 is: 8,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.25 : 10,775.52 = 5,714.98 : x
  2. Step 2: Convert to fraction form
    7,193.25/10,775.52 = 5,714.98/x
  3. Step 3: Cross multiply
    7,193.25x = 10,775.52 × 5,714.98
  4. Step 4: Simplify right side
    7,193.25x = 61,581,881.29
  5. Step 5: Solve for x
    x = 61,581,881.29/7,193.25
  6. Step 6: Final answer
    x = 8,561.07

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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.