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Finding the Fourth Proportional to 7,346.90, 10,140.33 and 4,829.24

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Solution

The fourth proportional to 7,346.90, 10,140.33 and 4,829.24 is: 6,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.90 : 10,140.33 = 4,829.24 : x
  2. Step 2: Convert to fraction form
    7,346.90/10,140.33 = 4,829.24/x
  3. Step 3: Cross multiply
    7,346.90x = 10,140.33 × 4,829.24
  4. Step 4: Simplify right side
    7,346.90x = 48,970,081.48
  5. Step 5: Solve for x
    x = 48,970,081.48/7,346.90
  6. Step 6: Final answer
    x = 6,665.41

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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.