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Finding the Fourth Proportional to 10,417.82, 15,626.66 and 2,626.63

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Solution

The fourth proportional to 10,417.82, 15,626.66 and 2,626.63 is: 3,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.82 : 15,626.66 = 2,626.63 : x
  2. Step 2: Convert to fraction form
    10,417.82/15,626.66 = 2,626.63/x
  3. Step 3: Cross multiply
    10,417.82x = 15,626.66 × 2,626.63
  4. Step 4: Simplify right side
    10,417.82x = 41,045,401.76
  5. Step 5: Solve for x
    x = 41,045,401.76/10,417.82
  6. Step 6: Final answer
    x = 3,939.92

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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.