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Finding the Fourth Proportional to 10,370.85, 14,311.79 and 5,655.16

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Solution

The fourth proportional to 10,370.85, 14,311.79 and 5,655.16 is: 7,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.85 : 14,311.79 = 5,655.16 : x
  2. Step 2: Convert to fraction form
    10,370.85/14,311.79 = 5,655.16/x
  3. Step 3: Cross multiply
    10,370.85x = 14,311.79 × 5,655.16
  4. Step 4: Simplify right side
    10,370.85x = 80,935,462.34
  5. Step 5: Solve for x
    x = 80,935,462.34/10,370.85
  6. Step 6: Final answer
    x = 7,804.13

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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.