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Finding the Fourth Proportional to 8,464.46, 11,681.68 and 4,928

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Solution

The fourth proportional to 8,464.46, 11,681.68 and 4,928 is: 6,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.46 : 11,681.68 = 4,928 : x
  2. Step 2: Convert to fraction form
    8,464.46/11,681.68 = 4,928/x
  3. Step 3: Cross multiply
    8,464.46x = 11,681.68 × 4,928
  4. Step 4: Simplify right side
    8,464.46x = 57,567,319.04
  5. Step 5: Solve for x
    x = 57,567,319.04/8,464.46
  6. Step 6: Final answer
    x = 6,801.06

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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.