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Finding the Fourth Proportional to 8,533.96, 11,775.70 and 4,756.67

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Solution

The fourth proportional to 8,533.96, 11,775.70 and 4,756.67 is: 6,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.96 : 11,775.70 = 4,756.67 : x
  2. Step 2: Convert to fraction form
    8,533.96/11,775.70 = 4,756.67/x
  3. Step 3: Cross multiply
    8,533.96x = 11,775.70 × 4,756.67
  4. Step 4: Simplify right side
    8,533.96x = 56,013,124.57
  5. Step 5: Solve for x
    x = 56,013,124.57/8,533.96
  6. Step 6: Final answer
    x = 6,563.56

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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.