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Finding the Fourth Proportional to 10,599.36, 14,632.14 and 6,626.31

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Solution

The fourth proportional to 10,599.36, 14,632.14 and 6,626.31 is: 9,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.36 : 14,632.14 = 6,626.31 : x
  2. Step 2: Convert to fraction form
    10,599.36/14,632.14 = 6,626.31/x
  3. Step 3: Cross multiply
    10,599.36x = 14,632.14 × 6,626.31
  4. Step 4: Simplify right side
    10,599.36x = 96,957,095.60
  5. Step 5: Solve for x
    x = 96,957,095.60/10,599.36
  6. Step 6: Final answer
    x = 9,147.45

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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.