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Finding the Fourth Proportional to 11,594.88, 16,000.70 and 6,289.58

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Solution

The fourth proportional to 11,594.88, 16,000.70 and 6,289.58 is: 8,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.88 : 16,000.70 = 6,289.58 : x
  2. Step 2: Convert to fraction form
    11,594.88/16,000.70 = 6,289.58/x
  3. Step 3: Cross multiply
    11,594.88x = 16,000.70 × 6,289.58
  4. Step 4: Simplify right side
    11,594.88x = 100,637,691.26
  5. Step 5: Solve for x
    x = 100,637,691.26/11,594.88
  6. Step 6: Final answer
    x = 8,679.49

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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.