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Finding the Fourth Proportional to 11,784.34, 17,641.95 and 7,136.02

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Solution

The fourth proportional to 11,784.34, 17,641.95 and 7,136.02 is: 10,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.34 : 17,641.95 = 7,136.02 : x
  2. Step 2: Convert to fraction form
    11,784.34/17,641.95 = 7,136.02/x
  3. Step 3: Cross multiply
    11,784.34x = 17,641.95 × 7,136.02
  4. Step 4: Simplify right side
    11,784.34x = 125,893,308.04
  5. Step 5: Solve for x
    x = 125,893,308.04/11,784.34
  6. Step 6: Final answer
    x = 10,683.10

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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.