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Finding the Fourth Proportional to 7,089.78, 10,632.66 and 2,706.90

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Solution

The fourth proportional to 7,089.78, 10,632.66 and 2,706.90 is: 4,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.78 : 10,632.66 = 2,706.90 : x
  2. Step 2: Convert to fraction form
    7,089.78/10,632.66 = 2,706.90/x
  3. Step 3: Cross multiply
    7,089.78x = 10,632.66 × 2,706.90
  4. Step 4: Simplify right side
    7,089.78x = 28,781,547.35
  5. Step 5: Solve for x
    x = 28,781,547.35/7,089.78
  6. Step 6: Final answer
    x = 4,059.58

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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.