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Finding the Fourth Proportional to 10,003.12, 13,798.20 and 7,014.64

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Solution

The fourth proportional to 10,003.12, 13,798.20 and 7,014.64 is: 9,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.12 : 13,798.20 = 7,014.64 : x
  2. Step 2: Convert to fraction form
    10,003.12/13,798.20 = 7,014.64/x
  3. Step 3: Cross multiply
    10,003.12x = 13,798.20 × 7,014.64
  4. Step 4: Simplify right side
    10,003.12x = 96,789,405.65
  5. Step 5: Solve for x
    x = 96,789,405.65/10,003.12
  6. Step 6: Final answer
    x = 9,675.92

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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.