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Finding the Fourth Proportional to 28,074.48, 42,111.76 and 7,298

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Solution

The fourth proportional to 28,074.48, 42,111.76 and 7,298 is: 10,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,074.48 : 42,111.76 = 7,298 : x
  2. Step 2: Convert to fraction form
    28,074.48/42,111.76 = 7,298/x
  3. Step 3: Cross multiply
    28,074.48x = 42,111.76 × 7,298
  4. Step 4: Simplify right side
    28,074.48x = 307,331,624.48
  5. Step 5: Solve for x
    x = 307,331,624.48/28,074.48
  6. Step 6: Final answer
    x = 10,947.01

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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.