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Finding the Fourth Proportional to 8,570.81, 12,848.49 and 3,023.17

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Solution

The fourth proportional to 8,570.81, 12,848.49 and 3,023.17 is: 4,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.81 : 12,848.49 = 3,023.17 : x
  2. Step 2: Convert to fraction form
    8,570.81/12,848.49 = 3,023.17/x
  3. Step 3: Cross multiply
    8,570.81x = 12,848.49 × 3,023.17
  4. Step 4: Simplify right side
    8,570.81x = 38,843,169.51
  5. Step 5: Solve for x
    x = 38,843,169.51/8,570.81
  6. Step 6: Final answer
    x = 4,532.03

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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.