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Finding the Fourth Proportional to 8,537.24, 12,804.42 and 2,693

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Solution

The fourth proportional to 8,537.24, 12,804.42 and 2,693 is: 4,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.24 : 12,804.42 = 2,693 : x
  2. Step 2: Convert to fraction form
    8,537.24/12,804.42 = 2,693/x
  3. Step 3: Cross multiply
    8,537.24x = 12,804.42 × 2,693
  4. Step 4: Simplify right side
    8,537.24x = 34,482,303.06
  5. Step 5: Solve for x
    x = 34,482,303.06/8,537.24
  6. Step 6: Final answer
    x = 4,039.05

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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.