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Finding the Fourth Proportional to 10,379.02, 14,323.32 and 6,402.76

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Solution

The fourth proportional to 10,379.02, 14,323.32 and 6,402.76 is: 8,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.02 : 14,323.32 = 6,402.76 : x
  2. Step 2: Convert to fraction form
    10,379.02/14,323.32 = 6,402.76/x
  3. Step 3: Cross multiply
    10,379.02x = 14,323.32 × 6,402.76
  4. Step 4: Simplify right side
    10,379.02x = 91,708,780.36
  5. Step 5: Solve for x
    x = 91,708,780.36/10,379.02
  6. Step 6: Final answer
    x = 8,835.98

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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.