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Finding the Fourth Proportional to 11,064.04, 16,595.52 and 4,138

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Solution

The fourth proportional to 11,064.04, 16,595.52 and 4,138 is: 6,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064.04 : 16,595.52 = 4,138 : x
  2. Step 2: Convert to fraction form
    11,064.04/16,595.52 = 4,138/x
  3. Step 3: Cross multiply
    11,064.04x = 16,595.52 × 4,138
  4. Step 4: Simplify right side
    11,064.04x = 68,672,261.76
  5. Step 5: Solve for x
    x = 68,672,261.76/11,064.04
  6. Step 6: Final answer
    x = 6,206.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.