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Finding the Fourth Proportional to 8,292.46, 11,443.48 and 4,707.39

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Solution

The fourth proportional to 8,292.46, 11,443.48 and 4,707.39 is: 6,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.46 : 11,443.48 = 4,707.39 : x
  2. Step 2: Convert to fraction form
    8,292.46/11,443.48 = 4,707.39/x
  3. Step 3: Cross multiply
    8,292.46x = 11,443.48 × 4,707.39
  4. Step 4: Simplify right side
    8,292.46x = 53,868,878.07
  5. Step 5: Solve for x
    x = 53,868,878.07/8,292.46
  6. Step 6: Final answer
    x = 6,496.13

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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.