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Finding the Fourth Proportional to 7,683.51, 11,461.60 and 7,456.91

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Solution

The fourth proportional to 7,683.51, 11,461.60 and 7,456.91 is: 11,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.51 : 11,461.60 = 7,456.91 : x
  2. Step 2: Convert to fraction form
    7,683.51/11,461.60 = 7,456.91/x
  3. Step 3: Cross multiply
    7,683.51x = 11,461.60 × 7,456.91
  4. Step 4: Simplify right side
    7,683.51x = 85,468,136.14
  5. Step 5: Solve for x
    x = 85,468,136.14/7,683.51
  6. Step 6: Final answer
    x = 11,123.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.