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Finding the Fourth Proportional to 7,567.74, 10,440.21 and 4,335.84

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Solution

The fourth proportional to 7,567.74, 10,440.21 and 4,335.84 is: 5,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.74 : 10,440.21 = 4,335.84 : x
  2. Step 2: Convert to fraction form
    7,567.74/10,440.21 = 4,335.84/x
  3. Step 3: Cross multiply
    7,567.74x = 10,440.21 × 4,335.84
  4. Step 4: Simplify right side
    7,567.74x = 45,267,080.13
  5. Step 5: Solve for x
    x = 45,267,080.13/7,567.74
  6. Step 6: Final answer
    x = 5,981.59

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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.