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Finding the Fourth Proportional to 10,626.16, 16,002.49 and 9,256.04

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Solution

The fourth proportional to 10,626.16, 16,002.49 and 9,256.04 is: 13,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.16 : 16,002.49 = 9,256.04 : x
  2. Step 2: Convert to fraction form
    10,626.16/16,002.49 = 9,256.04/x
  3. Step 3: Cross multiply
    10,626.16x = 16,002.49 × 9,256.04
  4. Step 4: Simplify right side
    10,626.16x = 148,119,561.25
  5. Step 5: Solve for x
    x = 148,119,561.25/10,626.16
  6. Step 6: Final answer
    x = 13,939.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.