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Finding the Fourth Proportional to 10,537.12, 15,771.39 and 7,762.70

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Solution

The fourth proportional to 10,537.12, 15,771.39 and 7,762.70 is: 11,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.12 : 15,771.39 = 7,762.70 : x
  2. Step 2: Convert to fraction form
    10,537.12/15,771.39 = 7,762.70/x
  3. Step 3: Cross multiply
    10,537.12x = 15,771.39 × 7,762.70
  4. Step 4: Simplify right side
    10,537.12x = 122,428,569.15
  5. Step 5: Solve for x
    x = 122,428,569.15/10,537.12
  6. Step 6: Final answer
    x = 11,618.79

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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.