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Finding the Fourth Proportional to 10,814.87, 14,923.18 and 6,337.60

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Solution

The fourth proportional to 10,814.87, 14,923.18 and 6,337.60 is: 8,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.87 : 14,923.18 = 6,337.60 : x
  2. Step 2: Convert to fraction form
    10,814.87/14,923.18 = 6,337.60/x
  3. Step 3: Cross multiply
    10,814.87x = 14,923.18 × 6,337.60
  4. Step 4: Simplify right side
    10,814.87x = 94,577,145.57
  5. Step 5: Solve for x
    x = 94,577,145.57/10,814.87
  6. Step 6: Final answer
    x = 8,745.10

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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.