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Finding the Fourth Proportional to 11,353.80, 15,670.68 and 6,319.72

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Solution

The fourth proportional to 11,353.80, 15,670.68 and 6,319.72 is: 8,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.80 : 15,670.68 = 6,319.72 : x
  2. Step 2: Convert to fraction form
    11,353.80/15,670.68 = 6,319.72/x
  3. Step 3: Cross multiply
    11,353.80x = 15,670.68 × 6,319.72
  4. Step 4: Simplify right side
    11,353.80x = 99,034,309.81
  5. Step 5: Solve for x
    x = 99,034,309.81/11,353.80
  6. Step 6: Final answer
    x = 8,722.57

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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.