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Finding the Fourth Proportional to 7,567.72, 10,444 and 4,210.80

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Solution

The fourth proportional to 7,567.72, 10,444 and 4,210.80 is: 5,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.72 : 10,444 = 4,210.80 : x
  2. Step 2: Convert to fraction form
    7,567.72/10,444 = 4,210.80/x
  3. Step 3: Cross multiply
    7,567.72x = 10,444 × 4,210.80
  4. Step 4: Simplify right side
    7,567.72x = 43,977,595.20
  5. Step 5: Solve for x
    x = 43,977,595.20/7,567.72
  6. Step 6: Final answer
    x = 5,811.21

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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.