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Finding the Fourth Proportional to 7,456.35, 10,290 and 4,099.52

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Solution

The fourth proportional to 7,456.35, 10,290 and 4,099.52 is: 5,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.35 : 10,290 = 4,099.52 : x
  2. Step 2: Convert to fraction form
    7,456.35/10,290 = 4,099.52/x
  3. Step 3: Cross multiply
    7,456.35x = 10,290 × 4,099.52
  4. Step 4: Simplify right side
    7,456.35x = 42,184,009.35
  5. Step 5: Solve for x
    x = 42,184,009.35/7,456.35
  6. Step 6: Final answer
    x = 5,657.46

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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.