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Finding the Fourth Proportional to 8,709.64, 13,064.91 and 4,034.02

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Solution

The fourth proportional to 8,709.64, 13,064.91 and 4,034.02 is: 6,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.64 : 13,064.91 = 4,034.02 : x
  2. Step 2: Convert to fraction form
    8,709.64/13,064.91 = 4,034.02/x
  3. Step 3: Cross multiply
    8,709.64x = 13,064.91 × 4,034.02
  4. Step 4: Simplify right side
    8,709.64x = 52,704,108.24
  5. Step 5: Solve for x
    x = 52,704,108.24/8,709.64
  6. Step 6: Final answer
    x = 6,051.24

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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.