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Finding the Fourth Proportional to 7,122.09, 10,683.23 and 4,658.07

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Solution

The fourth proportional to 7,122.09, 10,683.23 and 4,658.07 is: 6,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.09 : 10,683.23 = 4,658.07 : x
  2. Step 2: Convert to fraction form
    7,122.09/10,683.23 = 4,658.07/x
  3. Step 3: Cross multiply
    7,122.09x = 10,683.23 × 4,658.07
  4. Step 4: Simplify right side
    7,122.09x = 49,763,233.17
  5. Step 5: Solve for x
    x = 49,763,233.17/7,122.09
  6. Step 6: Final answer
    x = 6,987.17

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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.