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Finding the Fourth Proportional to 8,533.29, 11,776.86 and 4,999.47

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Solution

The fourth proportional to 8,533.29, 11,776.86 and 4,999.47 is: 6,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.29 : 11,776.86 = 4,999.47 : x
  2. Step 2: Convert to fraction form
    8,533.29/11,776.86 = 4,999.47/x
  3. Step 3: Cross multiply
    8,533.29x = 11,776.86 × 4,999.47
  4. Step 4: Simplify right side
    8,533.29x = 58,878,058.26
  5. Step 5: Solve for x
    x = 58,878,058.26/8,533.29
  6. Step 6: Final answer
    x = 6,899.81

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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.