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Finding the Fourth Proportional to 12,709.71, 19,064.41 and 5,211.59

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Solution

The fourth proportional to 12,709.71, 19,064.41 and 5,211.59 is: 7,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.71 : 19,064.41 = 5,211.59 : x
  2. Step 2: Convert to fraction form
    12,709.71/19,064.41 = 5,211.59/x
  3. Step 3: Cross multiply
    12,709.71x = 19,064.41 × 5,211.59
  4. Step 4: Simplify right side
    12,709.71x = 99,355,888.51
  5. Step 5: Solve for x
    x = 99,355,888.51/12,709.71
  6. Step 6: Final answer
    x = 7,817.32

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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.