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Finding the Fourth Proportional to 10,537.37, 15,771.76 and 7,762.95

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Solution

The fourth proportional to 10,537.37, 15,771.76 and 7,762.95 is: 11,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.37 : 15,771.76 = 7,762.95 : x
  2. Step 2: Convert to fraction form
    10,537.37/15,771.76 = 7,762.95/x
  3. Step 3: Cross multiply
    10,537.37x = 15,771.76 × 7,762.95
  4. Step 4: Simplify right side
    10,537.37x = 122,435,384.29
  5. Step 5: Solve for x
    x = 122,435,384.29/10,537.37
  6. Step 6: Final answer
    x = 11,619.16

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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.