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Finding the Fourth Proportional to 10,626.81, 15,968.98 and 5,699.98

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Solution

The fourth proportional to 10,626.81, 15,968.98 and 5,699.98 is: 8,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.81 : 15,968.98 = 5,699.98 : x
  2. Step 2: Convert to fraction form
    10,626.81/15,968.98 = 5,699.98/x
  3. Step 3: Cross multiply
    10,626.81x = 15,968.98 × 5,699.98
  4. Step 4: Simplify right side
    10,626.81x = 91,022,893.71
  5. Step 5: Solve for x
    x = 91,022,893.71/10,626.81
  6. Step 6: Final answer
    x = 8,565.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.