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Finding the Fourth Proportional to 7,609.88, 10,498.29 and 4,464.65

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Solution

The fourth proportional to 7,609.88, 10,498.29 and 4,464.65 is: 6,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.88 : 10,498.29 = 4,464.65 : x
  2. Step 2: Convert to fraction form
    7,609.88/10,498.29 = 4,464.65/x
  3. Step 3: Cross multiply
    7,609.88x = 10,498.29 × 4,464.65
  4. Step 4: Simplify right side
    7,609.88x = 46,871,190.45
  5. Step 5: Solve for x
    x = 46,871,190.45/7,609.88
  6. Step 6: Final answer
    x = 6,159.25

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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.