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Finding the Fourth Proportional to 10,814.90, 14,926.02 and 6,837.02

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Solution

The fourth proportional to 10,814.90, 14,926.02 and 6,837.02 is: 9,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.90 : 14,926.02 = 6,837.02 : x
  2. Step 2: Convert to fraction form
    10,814.90/14,926.02 = 6,837.02/x
  3. Step 3: Cross multiply
    10,814.90x = 14,926.02 × 6,837.02
  4. Step 4: Simplify right side
    10,814.90x = 102,049,497.26
  5. Step 5: Solve for x
    x = 102,049,497.26/10,814.90
  6. Step 6: Final answer
    x = 9,436.01

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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.