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Finding the Fourth Proportional to 10,477.96, 14,455.46 and 5,999.30

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Solution

The fourth proportional to 10,477.96, 14,455.46 and 5,999.30 is: 8,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.96 : 14,455.46 = 5,999.30 : x
  2. Step 2: Convert to fraction form
    10,477.96/14,455.46 = 5,999.30/x
  3. Step 3: Cross multiply
    10,477.96x = 14,455.46 × 5,999.30
  4. Step 4: Simplify right side
    10,477.96x = 86,722,641.18
  5. Step 5: Solve for x
    x = 86,722,641.18/10,477.96
  6. Step 6: Final answer
    x = 8,276.67

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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.