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Finding the Fourth Proportional to 7,346.25, 10,138.06 and 4,159.50

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Solution

The fourth proportional to 7,346.25, 10,138.06 and 4,159.50 is: 5,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.25 : 10,138.06 = 4,159.50 : x
  2. Step 2: Convert to fraction form
    7,346.25/10,138.06 = 4,159.50/x
  3. Step 3: Cross multiply
    7,346.25x = 10,138.06 × 4,159.50
  4. Step 4: Simplify right side
    7,346.25x = 42,169,189.08
  5. Step 5: Solve for x
    x = 42,169,189.08/7,346.25
  6. Step 6: Final answer
    x = 5,740.23

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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.