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Finding the Fourth Proportional to 10,603.34, 14,629.22 and 6,126.50

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Solution

The fourth proportional to 10,603.34, 14,629.22 and 6,126.50 is: 8,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.34 : 14,629.22 = 6,126.50 : x
  2. Step 2: Convert to fraction form
    10,603.34/14,629.22 = 6,126.50/x
  3. Step 3: Cross multiply
    10,603.34x = 14,629.22 × 6,126.50
  4. Step 4: Simplify right side
    10,603.34x = 89,625,916.33
  5. Step 5: Solve for x
    x = 89,625,916.33/10,603.34
  6. Step 6: Final answer
    x = 8,452.61

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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.