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Finding the Fourth Proportional to 10,843.12, 14,963.16 and 6,126.40

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Solution

The fourth proportional to 10,843.12, 14,963.16 and 6,126.40 is: 8,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.12 : 14,963.16 = 6,126.40 : x
  2. Step 2: Convert to fraction form
    10,843.12/14,963.16 = 6,126.40/x
  3. Step 3: Cross multiply
    10,843.12x = 14,963.16 × 6,126.40
  4. Step 4: Simplify right side
    10,843.12x = 91,670,303.42
  5. Step 5: Solve for x
    x = 91,670,303.42/10,843.12
  6. Step 6: Final answer
    x = 8,454.24

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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.