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Finding the Fourth Proportional to 11,209.64, 15,468.98 and 6,430.37

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Solution

The fourth proportional to 11,209.64, 15,468.98 and 6,430.37 is: 8,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.64 : 15,468.98 = 6,430.37 : x
  2. Step 2: Convert to fraction form
    11,209.64/15,468.98 = 6,430.37/x
  3. Step 3: Cross multiply
    11,209.64x = 15,468.98 × 6,430.37
  4. Step 4: Simplify right side
    11,209.64x = 99,471,271.44
  5. Step 5: Solve for x
    x = 99,471,271.44/11,209.64
  6. Step 6: Final answer
    x = 8,873.73

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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.