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Finding the Fourth Proportional to 7,567.83, 10,438.02 and 5,210.73

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Solution

The fourth proportional to 7,567.83, 10,438.02 and 5,210.73 is: 7,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.83 : 10,438.02 = 5,210.73 : x
  2. Step 2: Convert to fraction form
    7,567.83/10,438.02 = 5,210.73/x
  3. Step 3: Cross multiply
    7,567.83x = 10,438.02 × 5,210.73
  4. Step 4: Simplify right side
    7,567.83x = 54,389,703.95
  5. Step 5: Solve for x
    x = 54,389,703.95/7,567.83
  6. Step 6: Final answer
    x = 7,186.96

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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.