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Finding the Fourth Proportional to 10,443.56, 14,416.64 and 6,251

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Solution

The fourth proportional to 10,443.56, 14,416.64 and 6,251 is: 8,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.56 : 14,416.64 = 6,251 : x
  2. Step 2: Convert to fraction form
    10,443.56/14,416.64 = 6,251/x
  3. Step 3: Cross multiply
    10,443.56x = 14,416.64 × 6,251
  4. Step 4: Simplify right side
    10,443.56x = 90,118,416.64
  5. Step 5: Solve for x
    x = 90,118,416.64/10,443.56
  6. Step 6: Final answer
    x = 8,629.09

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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.