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Finding the Fourth Proportional to 7,054.90, 10,582.35 and 6,082.10

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Solution

The fourth proportional to 7,054.90, 10,582.35 and 6,082.10 is: 9,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.90 : 10,582.35 = 6,082.10 : x
  2. Step 2: Convert to fraction form
    7,054.90/10,582.35 = 6,082.10/x
  3. Step 3: Cross multiply
    7,054.90x = 10,582.35 × 6,082.10
  4. Step 4: Simplify right side
    7,054.90x = 64,362,910.94
  5. Step 5: Solve for x
    x = 64,362,910.94/7,054.90
  6. Step 6: Final answer
    x = 9,123.15

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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.