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Finding the Fourth Proportional to 7,312.69, 10,091.65 and 5,220.46

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Solution

The fourth proportional to 7,312.69, 10,091.65 and 5,220.46 is: 7,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.69 : 10,091.65 = 5,220.46 : x
  2. Step 2: Convert to fraction form
    7,312.69/10,091.65 = 5,220.46/x
  3. Step 3: Cross multiply
    7,312.69x = 10,091.65 × 5,220.46
  4. Step 4: Simplify right side
    7,312.69x = 52,683,016.88
  5. Step 5: Solve for x
    x = 52,683,016.88/7,312.69
  6. Step 6: Final answer
    x = 7,204.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.