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Finding the Fourth Proportional to 7,947.02, 10,968.90 and 5,430.14

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Solution

The fourth proportional to 7,947.02, 10,968.90 and 5,430.14 is: 7,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.02 : 10,968.90 = 5,430.14 : x
  2. Step 2: Convert to fraction form
    7,947.02/10,968.90 = 5,430.14/x
  3. Step 3: Cross multiply
    7,947.02x = 10,968.90 × 5,430.14
  4. Step 4: Simplify right side
    7,947.02x = 59,562,669.71
  5. Step 5: Solve for x
    x = 59,562,669.71/7,947.02
  6. Step 6: Final answer
    x = 7,494.97

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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.