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Finding the Fourth Proportional to 10,341.88, 14,271.84 and 5,626.16

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Solution

The fourth proportional to 10,341.88, 14,271.84 and 5,626.16 is: 7,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.88 : 14,271.84 = 5,626.16 : x
  2. Step 2: Convert to fraction form
    10,341.88/14,271.84 = 5,626.16/x
  3. Step 3: Cross multiply
    10,341.88x = 14,271.84 × 5,626.16
  4. Step 4: Simplify right side
    10,341.88x = 80,295,655.33
  5. Step 5: Solve for x
    x = 80,295,655.33/10,341.88
  6. Step 6: Final answer
    x = 7,764.13

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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.