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Finding the Fourth Proportional to 5,111.70, 7,667.55 and 5,038.80

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Solution

The fourth proportional to 5,111.70, 7,667.55 and 5,038.80 is: 7,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.70 : 7,667.55 = 5,038.80 : x
  2. Step 2: Convert to fraction form
    5,111.70/7,667.55 = 5,038.80/x
  3. Step 3: Cross multiply
    5,111.70x = 7,667.55 × 5,038.80
  4. Step 4: Simplify right side
    5,111.70x = 38,635,250.94
  5. Step 5: Solve for x
    x = 38,635,250.94/5,111.70
  6. Step 6: Final answer
    x = 7,558.20

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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.