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Finding the Fourth Proportional to 11,134.96, 16,705.74 and 4,210

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Solution

The fourth proportional to 11,134.96, 16,705.74 and 4,210 is: 6,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.96 : 16,705.74 = 4,210 : x
  2. Step 2: Convert to fraction form
    11,134.96/16,705.74 = 4,210/x
  3. Step 3: Cross multiply
    11,134.96x = 16,705.74 × 4,210
  4. Step 4: Simplify right side
    11,134.96x = 70,331,165.40
  5. Step 5: Solve for x
    x = 70,331,165.40/11,134.96
  6. Step 6: Final answer
    x = 6,316.25

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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.