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Finding the Fourth Proportional to 11,458.16, 15,811.76 and 6,422.32

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Solution

The fourth proportional to 11,458.16, 15,811.76 and 6,422.32 is: 8,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.16 : 15,811.76 = 6,422.32 : x
  2. Step 2: Convert to fraction form
    11,458.16/15,811.76 = 6,422.32/x
  3. Step 3: Cross multiply
    11,458.16x = 15,811.76 × 6,422.32
  4. Step 4: Simplify right side
    11,458.16x = 101,548,182.48
  5. Step 5: Solve for x
    x = 101,548,182.48/11,458.16
  6. Step 6: Final answer
    x = 8,862.52

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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.