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Finding the Fourth Proportional to 8,730.51, 13,096.91 and 2,805.42

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Solution

The fourth proportional to 8,730.51, 13,096.91 and 2,805.42 is: 4,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.51 : 13,096.91 = 2,805.42 : x
  2. Step 2: Convert to fraction form
    8,730.51/13,096.91 = 2,805.42/x
  3. Step 3: Cross multiply
    8,730.51x = 13,096.91 × 2,805.42
  4. Step 4: Simplify right side
    8,730.51x = 36,742,333.25
  5. Step 5: Solve for x
    x = 36,742,333.25/8,730.51
  6. Step 6: Final answer
    x = 4,208.50

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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.