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Finding the Fourth Proportional to 8,262.50, 11,417.01 and 6,146.57

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Solution

The fourth proportional to 8,262.50, 11,417.01 and 6,146.57 is: 8,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.50 : 11,417.01 = 6,146.57 : x
  2. Step 2: Convert to fraction form
    8,262.50/11,417.01 = 6,146.57/x
  3. Step 3: Cross multiply
    8,262.50x = 11,417.01 × 6,146.57
  4. Step 4: Simplify right side
    8,262.50x = 70,175,394.07
  5. Step 5: Solve for x
    x = 70,175,394.07/8,262.50
  6. Step 6: Final answer
    x = 8,493.24

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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.