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Finding the Fourth Proportional to 7,565.76, 10,443.60 and 4,422.96

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Solution

The fourth proportional to 7,565.76, 10,443.60 and 4,422.96 is: 6,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.76 : 10,443.60 = 4,422.96 : x
  2. Step 2: Convert to fraction form
    7,565.76/10,443.60 = 4,422.96/x
  3. Step 3: Cross multiply
    7,565.76x = 10,443.60 × 4,422.96
  4. Step 4: Simplify right side
    7,565.76x = 46,191,625.06
  5. Step 5: Solve for x
    x = 46,191,625.06/7,565.76
  6. Step 6: Final answer
    x = 6,105.35

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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.