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Finding the Fourth Proportional to 8,538.37, 11,783.82 and 4,762.15

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Solution

The fourth proportional to 8,538.37, 11,783.82 and 4,762.15 is: 6,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.37 : 11,783.82 = 4,762.15 : x
  2. Step 2: Convert to fraction form
    8,538.37/11,783.82 = 4,762.15/x
  3. Step 3: Cross multiply
    8,538.37x = 11,783.82 × 4,762.15
  4. Step 4: Simplify right side
    8,538.37x = 56,116,318.41
  5. Step 5: Solve for x
    x = 56,116,318.41/8,538.37
  6. Step 6: Final answer
    x = 6,572.25

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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.