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Finding the Fourth Proportional to 11,533.69, 17,306 and 6,862.93

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Solution

The fourth proportional to 11,533.69, 17,306 and 6,862.93 is: 10,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.69 : 17,306 = 6,862.93 : x
  2. Step 2: Convert to fraction form
    11,533.69/17,306 = 6,862.93/x
  3. Step 3: Cross multiply
    11,533.69x = 17,306 × 6,862.93
  4. Step 4: Simplify right side
    11,533.69x = 118,769,866.58
  5. Step 5: Solve for x
    x = 118,769,866.58/11,533.69
  6. Step 6: Final answer
    x = 10,297.65

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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.