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Finding the Fourth Proportional to 7,683.34, 11,495.84 and 4,754.38

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Solution

The fourth proportional to 7,683.34, 11,495.84 and 4,754.38 is: 7,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.34 : 11,495.84 = 4,754.38 : x
  2. Step 2: Convert to fraction form
    7,683.34/11,495.84 = 4,754.38/x
  3. Step 3: Cross multiply
    7,683.34x = 11,495.84 × 4,754.38
  4. Step 4: Simplify right side
    7,683.34x = 54,655,591.78
  5. Step 5: Solve for x
    x = 54,655,591.78/7,683.34
  6. Step 6: Final answer
    x = 7,113.52

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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.