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Finding the Fourth Proportional to 7,411.72, 11,109.30 and 4,492

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Solution

The fourth proportional to 7,411.72, 11,109.30 and 4,492 is: 6,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.72 : 11,109.30 = 4,492 : x
  2. Step 2: Convert to fraction form
    7,411.72/11,109.30 = 4,492/x
  3. Step 3: Cross multiply
    7,411.72x = 11,109.30 × 4,492
  4. Step 4: Simplify right side
    7,411.72x = 49,902,975.60
  5. Step 5: Solve for x
    x = 49,902,975.60/7,411.72
  6. Step 6: Final answer
    x = 6,732.98

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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.