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Finding the Fourth Proportional to 10,370.72, 14,311.76 and 5,655.02

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Solution

The fourth proportional to 10,370.72, 14,311.76 and 5,655.02 is: 7,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.72 : 14,311.76 = 5,655.02 : x
  2. Step 2: Convert to fraction form
    10,370.72/14,311.76 = 5,655.02/x
  3. Step 3: Cross multiply
    10,370.72x = 14,311.76 × 5,655.02
  4. Step 4: Simplify right side
    10,370.72x = 80,933,189.20
  5. Step 5: Solve for x
    x = 80,933,189.20/10,370.72
  6. Step 6: Final answer
    x = 7,804.01

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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.