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Finding the Fourth Proportional to 11,645.35, 16,070.15 and 6,340.05

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Solution

The fourth proportional to 11,645.35, 16,070.15 and 6,340.05 is: 8,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.35 : 16,070.15 = 6,340.05 : x
  2. Step 2: Convert to fraction form
    11,645.35/16,070.15 = 6,340.05/x
  3. Step 3: Cross multiply
    11,645.35x = 16,070.15 × 6,340.05
  4. Step 4: Simplify right side
    11,645.35x = 101,885,554.51
  5. Step 5: Solve for x
    x = 101,885,554.51/11,645.35
  6. Step 6: Final answer
    x = 8,749.03

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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.