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Finding the Fourth Proportional to 7,735.02, 10,674.27 and 6,058.14

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Solution

The fourth proportional to 7,735.02, 10,674.27 and 6,058.14 is: 8,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.02 : 10,674.27 = 6,058.14 : x
  2. Step 2: Convert to fraction form
    7,735.02/10,674.27 = 6,058.14/x
  3. Step 3: Cross multiply
    7,735.02x = 10,674.27 × 6,058.14
  4. Step 4: Simplify right side
    7,735.02x = 64,666,222.06
  5. Step 5: Solve for x
    x = 64,666,222.06/7,735.02
  6. Step 6: Final answer
    x = 8,360.19

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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.