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Finding the Fourth Proportional to 7,496.61, 11,242.49 and 2,566.14

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Solution

The fourth proportional to 7,496.61, 11,242.49 and 2,566.14 is: 3,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.61 : 11,242.49 = 2,566.14 : x
  2. Step 2: Convert to fraction form
    7,496.61/11,242.49 = 2,566.14/x
  3. Step 3: Cross multiply
    7,496.61x = 11,242.49 × 2,566.14
  4. Step 4: Simplify right side
    7,496.61x = 28,849,790.46
  5. Step 5: Solve for x
    x = 28,849,790.46/7,496.61
  6. Step 6: Final answer
    x = 3,848.38

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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.