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Finding the Fourth Proportional to 11,645.64, 16,070.47 and 6,340.46

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Solution

The fourth proportional to 11,645.64, 16,070.47 and 6,340.46 is: 8,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.64 : 16,070.47 = 6,340.46 : x
  2. Step 2: Convert to fraction form
    11,645.64/16,070.47 = 6,340.46/x
  3. Step 3: Cross multiply
    11,645.64x = 16,070.47 × 6,340.46
  4. Step 4: Simplify right side
    11,645.64x = 101,894,076.01
  5. Step 5: Solve for x
    x = 101,894,076.01/11,645.64
  6. Step 6: Final answer
    x = 8,749.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.