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Finding the Fourth Proportional to 8,430.46, 11,636.08 and 5,244.12

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Solution

The fourth proportional to 8,430.46, 11,636.08 and 5,244.12 is: 7,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.46 : 11,636.08 = 5,244.12 : x
  2. Step 2: Convert to fraction form
    8,430.46/11,636.08 = 5,244.12/x
  3. Step 3: Cross multiply
    8,430.46x = 11,636.08 × 5,244.12
  4. Step 4: Simplify right side
    8,430.46x = 61,020,999.85
  5. Step 5: Solve for x
    x = 61,020,999.85/8,430.46
  6. Step 6: Final answer
    x = 7,238.16

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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.