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Finding the Fourth Proportional to 7,374.16, 11,061.12 and 2,443.84

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Solution

The fourth proportional to 7,374.16, 11,061.12 and 2,443.84 is: 3,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.16 : 11,061.12 = 2,443.84 : x
  2. Step 2: Convert to fraction form
    7,374.16/11,061.12 = 2,443.84/x
  3. Step 3: Cross multiply
    7,374.16x = 11,061.12 × 2,443.84
  4. Step 4: Simplify right side
    7,374.16x = 27,031,607.50
  5. Step 5: Solve for x
    x = 27,031,607.50/7,374.16
  6. Step 6: Final answer
    x = 3,665.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.