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Finding the Fourth Proportional to 8,829.98, 12,181.88 and 5,688

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Solution

The fourth proportional to 8,829.98, 12,181.88 and 5,688 is: 7,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.98 : 12,181.88 = 5,688 : x
  2. Step 2: Convert to fraction form
    8,829.98/12,181.88 = 5,688/x
  3. Step 3: Cross multiply
    8,829.98x = 12,181.88 × 5,688
  4. Step 4: Simplify right side
    8,829.98x = 69,290,533.44
  5. Step 5: Solve for x
    x = 69,290,533.44/8,829.98
  6. Step 6: Final answer
    x = 7,847.19

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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.