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Finding the Fourth Proportional to 7,565.25, 10,440.05 and 4,421.46

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Solution

The fourth proportional to 7,565.25, 10,440.05 and 4,421.46 is: 6,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.25 : 10,440.05 = 4,421.46 : x
  2. Step 2: Convert to fraction form
    7,565.25/10,440.05 = 4,421.46/x
  3. Step 3: Cross multiply
    7,565.25x = 10,440.05 × 4,421.46
  4. Step 4: Simplify right side
    7,565.25x = 46,160,241.37
  5. Step 5: Solve for x
    x = 46,160,241.37/7,565.25
  6. Step 6: Final answer
    x = 6,101.61

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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.