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Finding the Fourth Proportional to 10,832.46, 14,955.24 and 6,856.98

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Solution

The fourth proportional to 10,832.46, 14,955.24 and 6,856.98 is: 9,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.46 : 14,955.24 = 6,856.98 : x
  2. Step 2: Convert to fraction form
    10,832.46/14,955.24 = 6,856.98/x
  3. Step 3: Cross multiply
    10,832.46x = 14,955.24 × 6,856.98
  4. Step 4: Simplify right side
    10,832.46x = 102,547,781.58
  5. Step 5: Solve for x
    x = 102,547,781.58/10,832.46
  6. Step 6: Final answer
    x = 9,466.71

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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.