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Finding the Fourth Proportional to 10,537.38, 15,810.68 and 4,994.68

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Solution

The fourth proportional to 10,537.38, 15,810.68 and 4,994.68 is: 7,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.38 : 15,810.68 = 4,994.68 : x
  2. Step 2: Convert to fraction form
    10,537.38/15,810.68 = 4,994.68/x
  3. Step 3: Cross multiply
    10,537.38x = 15,810.68 × 4,994.68
  4. Step 4: Simplify right side
    10,537.38x = 78,969,287.18
  5. Step 5: Solve for x
    x = 78,969,287.18/10,537.38
  6. Step 6: Final answer
    x = 7,494.21

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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.