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Finding the Fourth Proportional to 7,458.90, 10,293.30 and 4,102.05

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Solution

The fourth proportional to 7,458.90, 10,293.30 and 4,102.05 is: 5,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.90 : 10,293.30 = 4,102.05 : x
  2. Step 2: Convert to fraction form
    7,458.90/10,293.30 = 4,102.05/x
  3. Step 3: Cross multiply
    7,458.90x = 10,293.30 × 4,102.05
  4. Step 4: Simplify right side
    7,458.90x = 42,223,631.27
  5. Step 5: Solve for x
    x = 42,223,631.27/7,458.90
  6. Step 6: Final answer
    x = 5,660.84

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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.