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Finding the Fourth Proportional to 7,045.86, 10,576.48 and 5,191.22

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Solution

The fourth proportional to 7,045.86, 10,576.48 and 5,191.22 is: 7,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.86 : 10,576.48 = 5,191.22 : x
  2. Step 2: Convert to fraction form
    7,045.86/10,576.48 = 5,191.22/x
  3. Step 3: Cross multiply
    7,045.86x = 10,576.48 × 5,191.22
  4. Step 4: Simplify right side
    7,045.86x = 54,904,834.51
  5. Step 5: Solve for x
    x = 54,904,834.51/7,045.86
  6. Step 6: Final answer
    x = 7,792.50

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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.