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Finding the Fourth Proportional to 7,130.56, 10,735.48 and 6,178

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Solution

The fourth proportional to 7,130.56, 10,735.48 and 6,178 is: 9,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.56 : 10,735.48 = 6,178 : x
  2. Step 2: Convert to fraction form
    7,130.56/10,735.48 = 6,178/x
  3. Step 3: Cross multiply
    7,130.56x = 10,735.48 × 6,178
  4. Step 4: Simplify right side
    7,130.56x = 66,323,795.44
  5. Step 5: Solve for x
    x = 66,323,795.44/7,130.56
  6. Step 6: Final answer
    x = 9,301.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.