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Finding the Fourth Proportional to 7,567.70, 10,443.49 and 4,210.66

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Solution

The fourth proportional to 7,567.70, 10,443.49 and 4,210.66 is: 5,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.70 : 10,443.49 = 4,210.66 : x
  2. Step 2: Convert to fraction form
    7,567.70/10,443.49 = 4,210.66/x
  3. Step 3: Cross multiply
    7,567.70x = 10,443.49 × 4,210.66
  4. Step 4: Simplify right side
    7,567.70x = 43,973,988.36
  5. Step 5: Solve for x
    x = 43,973,988.36/7,567.70
  6. Step 6: Final answer
    x = 5,810.74

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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.