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Finding the Fourth Proportional to 8,703.86, 13,071.87 and 4,546.71

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Solution

The fourth proportional to 8,703.86, 13,071.87 and 4,546.71 is: 6,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.86 : 13,071.87 = 4,546.71 : x
  2. Step 2: Convert to fraction form
    8,703.86/13,071.87 = 4,546.71/x
  3. Step 3: Cross multiply
    8,703.86x = 13,071.87 × 4,546.71
  4. Step 4: Simplify right side
    8,703.86x = 59,434,002.05
  5. Step 5: Solve for x
    x = 59,434,002.05/8,703.86
  6. Step 6: Final answer
    x = 6,828.47

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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.