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Finding the Fourth Proportional to 8,070.71, 11,137.51 and 4,533.84

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Solution

The fourth proportional to 8,070.71, 11,137.51 and 4,533.84 is: 6,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.71 : 11,137.51 = 4,533.84 : x
  2. Step 2: Convert to fraction form
    8,070.71/11,137.51 = 4,533.84/x
  3. Step 3: Cross multiply
    8,070.71x = 11,137.51 × 4,533.84
  4. Step 4: Simplify right side
    8,070.71x = 50,495,735.77
  5. Step 5: Solve for x
    x = 50,495,735.77/8,070.71
  6. Step 6: Final answer
    x = 6,256.67

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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.