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Finding the Fourth Proportional to 7,810.34, 11,716.13 and 2,545.24

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Solution

The fourth proportional to 7,810.34, 11,716.13 and 2,545.24 is: 3,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.34 : 11,716.13 = 2,545.24 : x
  2. Step 2: Convert to fraction form
    7,810.34/11,716.13 = 2,545.24/x
  3. Step 3: Cross multiply
    7,810.34x = 11,716.13 × 2,545.24
  4. Step 4: Simplify right side
    7,810.34x = 29,820,347.44
  5. Step 5: Solve for x
    x = 29,820,347.44/7,810.34
  6. Step 6: Final answer
    x = 3,818.06

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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.