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Finding the Fourth Proportional to 10,626.94, 14,652.66 and 7,271.38

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Solution

The fourth proportional to 10,626.94, 14,652.66 and 7,271.38 is: 10,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.94 : 14,652.66 = 7,271.38 : x
  2. Step 2: Convert to fraction form
    10,626.94/14,652.66 = 7,271.38/x
  3. Step 3: Cross multiply
    10,626.94x = 14,652.66 × 7,271.38
  4. Step 4: Simplify right side
    10,626.94x = 106,545,058.87
  5. Step 5: Solve for x
    x = 106,545,058.87/10,626.94
  6. Step 6: Final answer
    x = 10,025.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.