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Finding the Fourth Proportional to 7,074.16, 10,677.72 and 7,074.16

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Solution

The fourth proportional to 7,074.16, 10,677.72 and 7,074.16 is: 10,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.16 : 10,677.72 = 7,074.16 : x
  2. Step 2: Convert to fraction form
    7,074.16/10,677.72 = 7,074.16/x
  3. Step 3: Cross multiply
    7,074.16x = 10,677.72 × 7,074.16
  4. Step 4: Simplify right side
    7,074.16x = 75,535,899.72
  5. Step 5: Solve for x
    x = 75,535,899.72/7,074.16
  6. Step 6: Final answer
    x = 10,677.72

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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.