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Finding the Fourth Proportional to 10,837.68, 14,958 and 6,856.08

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Solution

The fourth proportional to 10,837.68, 14,958 and 6,856.08 is: 9,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.68 : 14,958 = 6,856.08 : x
  2. Step 2: Convert to fraction form
    10,837.68/14,958 = 6,856.08/x
  3. Step 3: Cross multiply
    10,837.68x = 14,958 × 6,856.08
  4. Step 4: Simplify right side
    10,837.68x = 102,553,244.64
  5. Step 5: Solve for x
    x = 102,553,244.64/10,837.68
  6. Step 6: Final answer
    x = 9,462.66

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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.