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Finding the Fourth Proportional to 7,567.65, 10,443.86 and 4,210.46

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Solution

The fourth proportional to 7,567.65, 10,443.86 and 4,210.46 is: 5,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.65 : 10,443.86 = 4,210.46 : x
  2. Step 2: Convert to fraction form
    7,567.65/10,443.86 = 4,210.46/x
  3. Step 3: Cross multiply
    7,567.65x = 10,443.86 × 4,210.46
  4. Step 4: Simplify right side
    7,567.65x = 43,973,454.78
  5. Step 5: Solve for x
    x = 43,973,454.78/7,567.65
  6. Step 6: Final answer
    x = 5,810.71

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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.