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Finding the Fourth Proportional to 8,210.34, 12,312.33 and 2,662.35

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Solution

The fourth proportional to 8,210.34, 12,312.33 and 2,662.35 is: 3,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.34 : 12,312.33 = 2,662.35 : x
  2. Step 2: Convert to fraction form
    8,210.34/12,312.33 = 2,662.35/x
  3. Step 3: Cross multiply
    8,210.34x = 12,312.33 × 2,662.35
  4. Step 4: Simplify right side
    8,210.34x = 32,779,731.78
  5. Step 5: Solve for x
    x = 32,779,731.78/8,210.34
  6. Step 6: Final answer
    x = 3,992.49

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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.