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Finding the Fourth Proportional to 8,604.83, 12,905.93 and 2,365.34

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Solution

The fourth proportional to 8,604.83, 12,905.93 and 2,365.34 is: 3,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.83 : 12,905.93 = 2,365.34 : x
  2. Step 2: Convert to fraction form
    8,604.83/12,905.93 = 2,365.34/x
  3. Step 3: Cross multiply
    8,604.83x = 12,905.93 × 2,365.34
  4. Step 4: Simplify right side
    8,604.83x = 30,526,853.85
  5. Step 5: Solve for x
    x = 30,526,853.85/8,604.83
  6. Step 6: Final answer
    x = 3,547.64

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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.