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Finding the Fourth Proportional to 10,303.86, 15,468.40 and 6,796.80

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Solution

The fourth proportional to 10,303.86, 15,468.40 and 6,796.80 is: 10,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.86 : 15,468.40 = 6,796.80 : x
  2. Step 2: Convert to fraction form
    10,303.86/15,468.40 = 6,796.80/x
  3. Step 3: Cross multiply
    10,303.86x = 15,468.40 × 6,796.80
  4. Step 4: Simplify right side
    10,303.86x = 105,135,621.12
  5. Step 5: Solve for x
    x = 105,135,621.12/10,303.86
  6. Step 6: Final answer
    x = 10,203.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.