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Finding the Fourth Proportional to 10,666.95, 14,720.34 and 5,951.22

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Solution

The fourth proportional to 10,666.95, 14,720.34 and 5,951.22 is: 8,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.95 : 14,720.34 = 5,951.22 : x
  2. Step 2: Convert to fraction form
    10,666.95/14,720.34 = 5,951.22/x
  3. Step 3: Cross multiply
    10,666.95x = 14,720.34 × 5,951.22
  4. Step 4: Simplify right side
    10,666.95x = 87,603,981.81
  5. Step 5: Solve for x
    x = 87,603,981.81/10,666.95
  6. Step 6: Final answer
    x = 8,212.66

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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.