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Finding the Fourth Proportional to 7,155.77, 9,877.65 and 4,172.54

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Solution

The fourth proportional to 7,155.77, 9,877.65 and 4,172.54 is: 5,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.77 : 9,877.65 = 4,172.54 : x
  2. Step 2: Convert to fraction form
    7,155.77/9,877.65 = 4,172.54/x
  3. Step 3: Cross multiply
    7,155.77x = 9,877.65 × 4,172.54
  4. Step 4: Simplify right side
    7,155.77x = 41,214,889.73
  5. Step 5: Solve for x
    x = 41,214,889.73/7,155.77
  6. Step 6: Final answer
    x = 5,759.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.