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Finding the Fourth Proportional to 10,290.40, 14,199.93 and 5,814.54

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Solution

The fourth proportional to 10,290.40, 14,199.93 and 5,814.54 is: 8,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.40 : 14,199.93 = 5,814.54 : x
  2. Step 2: Convert to fraction form
    10,290.40/14,199.93 = 5,814.54/x
  3. Step 3: Cross multiply
    10,290.40x = 14,199.93 × 5,814.54
  4. Step 4: Simplify right side
    10,290.40x = 82,566,060.98
  5. Step 5: Solve for x
    x = 82,566,060.98/10,290.40
  6. Step 6: Final answer
    x = 8,023.60

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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.