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Finding the Fourth Proportional to 8,357.66, 12,537.11 and 2,810.98

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Solution

The fourth proportional to 8,357.66, 12,537.11 and 2,810.98 is: 4,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.66 : 12,537.11 = 2,810.98 : x
  2. Step 2: Convert to fraction form
    8,357.66/12,537.11 = 2,810.98/x
  3. Step 3: Cross multiply
    8,357.66x = 12,537.11 × 2,810.98
  4. Step 4: Simplify right side
    8,357.66x = 35,241,551.41
  5. Step 5: Solve for x
    x = 35,241,551.41/8,357.66
  6. Step 6: Final answer
    x = 4,216.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.