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Finding the Fourth Proportional to 8,709.90, 13,072.05 and 4,037.10

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Solution

The fourth proportional to 8,709.90, 13,072.05 and 4,037.10 is: 6,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.90 : 13,072.05 = 4,037.10 : x
  2. Step 2: Convert to fraction form
    8,709.90/13,072.05 = 4,037.10/x
  3. Step 3: Cross multiply
    8,709.90x = 13,072.05 × 4,037.10
  4. Step 4: Simplify right side
    8,709.90x = 52,773,173.06
  5. Step 5: Solve for x
    x = 52,773,173.06/8,709.90
  6. Step 6: Final answer
    x = 6,058.99

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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.