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Finding the Fourth Proportional to 7,030.96, 9,680.52 and 6,191.08

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Solution

The fourth proportional to 7,030.96, 9,680.52 and 6,191.08 is: 8,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.96 : 9,680.52 = 6,191.08 : x
  2. Step 2: Convert to fraction form
    7,030.96/9,680.52 = 6,191.08/x
  3. Step 3: Cross multiply
    7,030.96x = 9,680.52 × 6,191.08
  4. Step 4: Simplify right side
    7,030.96x = 59,932,873.76
  5. Step 5: Solve for x
    x = 59,932,873.76/7,030.96
  6. Step 6: Final answer
    x = 8,524.14

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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.