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Finding the Fourth Proportional to 8,347.25, 11,457.84 and 7,381.91

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Solution

The fourth proportional to 8,347.25, 11,457.84 and 7,381.91 is: 10,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.25 : 11,457.84 = 7,381.91 : x
  2. Step 2: Convert to fraction form
    8,347.25/11,457.84 = 7,381.91/x
  3. Step 3: Cross multiply
    8,347.25x = 11,457.84 × 7,381.91
  4. Step 4: Simplify right side
    8,347.25x = 84,580,686.39
  5. Step 5: Solve for x
    x = 84,580,686.39/8,347.25
  6. Step 6: Final answer
    x = 10,132.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.