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Finding the Fourth Proportional to 7,140.49, 10,692.10 and 5,746.21

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Solution

The fourth proportional to 7,140.49, 10,692.10 and 5,746.21 is: 8,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.49 : 10,692.10 = 5,746.21 : x
  2. Step 2: Convert to fraction form
    7,140.49/10,692.10 = 5,746.21/x
  3. Step 3: Cross multiply
    7,140.49x = 10,692.10 × 5,746.21
  4. Step 4: Simplify right side
    7,140.49x = 61,438,984.11
  5. Step 5: Solve for x
    x = 61,438,984.11/7,140.49
  6. Step 6: Final answer
    x = 8,604.32

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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.