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Finding the Fourth Proportional to 10,303.85, 14,208.63 and 8,816.69

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Solution

The fourth proportional to 10,303.85, 14,208.63 and 8,816.69 is: 12,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.85 : 14,208.63 = 8,816.69 : x
  2. Step 2: Convert to fraction form
    10,303.85/14,208.63 = 8,816.69/x
  3. Step 3: Cross multiply
    10,303.85x = 14,208.63 × 8,816.69
  4. Step 4: Simplify right side
    10,303.85x = 125,273,086.03
  5. Step 5: Solve for x
    x = 125,273,086.03/10,303.85
  6. Step 6: Final answer
    x = 12,157.89

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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.