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Finding the Fourth Proportional to 10,493.94, 15,730.39 and 4,875.56

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Solution

The fourth proportional to 10,493.94, 15,730.39 and 4,875.56 is: 7,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.94 : 15,730.39 = 4,875.56 : x
  2. Step 2: Convert to fraction form
    10,493.94/15,730.39 = 4,875.56/x
  3. Step 3: Cross multiply
    10,493.94x = 15,730.39 × 4,875.56
  4. Step 4: Simplify right side
    10,493.94x = 76,694,460.27
  5. Step 5: Solve for x
    x = 76,694,460.27/10,493.94
  6. Step 6: Final answer
    x = 7,308.45

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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.