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Finding the Fourth Proportional to 7,865.96, 10,852.58 and 4,462.41

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Solution

The fourth proportional to 7,865.96, 10,852.58 and 4,462.41 is: 6,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.96 : 10,852.58 = 4,462.41 : x
  2. Step 2: Convert to fraction form
    7,865.96/10,852.58 = 4,462.41/x
  3. Step 3: Cross multiply
    7,865.96x = 10,852.58 × 4,462.41
  4. Step 4: Simplify right side
    7,865.96x = 48,428,661.52
  5. Step 5: Solve for x
    x = 48,428,661.52/7,865.96
  6. Step 6: Final answer
    x = 6,156.74

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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.