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Finding the Fourth Proportional to 10,699.72, 16,051.59 and 4,856.74

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Solution

The fourth proportional to 10,699.72, 16,051.59 and 4,856.74 is: 7,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.72 : 16,051.59 = 4,856.74 : x
  2. Step 2: Convert to fraction form
    10,699.72/16,051.59 = 4,856.74/x
  3. Step 3: Cross multiply
    10,699.72x = 16,051.59 × 4,856.74
  4. Step 4: Simplify right side
    10,699.72x = 77,958,399.22
  5. Step 5: Solve for x
    x = 77,958,399.22/10,699.72
  6. Step 6: Final answer
    x = 7,286.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.