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Finding the Fourth Proportional to 7,681.12, 11,523.12 and 3,064.16

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Solution

The fourth proportional to 7,681.12, 11,523.12 and 3,064.16 is: 4,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.12 : 11,523.12 = 3,064.16 : x
  2. Step 2: Convert to fraction form
    7,681.12/11,523.12 = 3,064.16/x
  3. Step 3: Cross multiply
    7,681.12x = 11,523.12 × 3,064.16
  4. Step 4: Simplify right side
    7,681.12x = 35,308,683.38
  5. Step 5: Solve for x
    x = 35,308,683.38/7,681.12
  6. Step 6: Final answer
    x = 4,596.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.