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Finding the Fourth Proportional to 8,386.10, 11,572.94 and 4,609.63

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Solution

The fourth proportional to 8,386.10, 11,572.94 and 4,609.63 is: 6,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.10 : 11,572.94 = 4,609.63 : x
  2. Step 2: Convert to fraction form
    8,386.10/11,572.94 = 4,609.63/x
  3. Step 3: Cross multiply
    8,386.10x = 11,572.94 × 4,609.63
  4. Step 4: Simplify right side
    8,386.10x = 53,346,980.12
  5. Step 5: Solve for x
    x = 53,346,980.12/8,386.10
  6. Step 6: Final answer
    x = 6,361.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.