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Finding the Fourth Proportional to 7,460.84, 11,192.22 and 2,463.74

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Solution

The fourth proportional to 7,460.84, 11,192.22 and 2,463.74 is: 3,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.84 : 11,192.22 = 2,463.74 : x
  2. Step 2: Convert to fraction form
    7,460.84/11,192.22 = 2,463.74/x
  3. Step 3: Cross multiply
    7,460.84x = 11,192.22 × 2,463.74
  4. Step 4: Simplify right side
    7,460.84x = 27,574,706.11
  5. Step 5: Solve for x
    x = 27,574,706.11/7,460.84
  6. Step 6: Final answer
    x = 3,695.92

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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.