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Finding the Fourth Proportional to 7,567.82, 10,443.29 and 4,210.77

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Solution

The fourth proportional to 7,567.82, 10,443.29 and 4,210.77 is: 5,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.82 : 10,443.29 = 4,210.77 : x
  2. Step 2: Convert to fraction form
    7,567.82/10,443.29 = 4,210.77/x
  3. Step 3: Cross multiply
    7,567.82x = 10,443.29 × 4,210.77
  4. Step 4: Simplify right side
    7,567.82x = 43,974,292.23
  5. Step 5: Solve for x
    x = 43,974,292.23/7,567.82
  6. Step 6: Final answer
    x = 5,810.69

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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.