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Finding the Fourth Proportional to 8,829.96, 12,185.32 and 5,053.12

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Solution

The fourth proportional to 8,829.96, 12,185.32 and 5,053.12 is: 6,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.96 : 12,185.32 = 5,053.12 : x
  2. Step 2: Convert to fraction form
    8,829.96/12,185.32 = 5,053.12/x
  3. Step 3: Cross multiply
    8,829.96x = 12,185.32 × 5,053.12
  4. Step 4: Simplify right side
    8,829.96x = 61,573,884.20
  5. Step 5: Solve for x
    x = 61,573,884.20/8,829.96
  6. Step 6: Final answer
    x = 6,973.29

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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.