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Finding the Fourth Proportional to 7,085.64, 10,675.74 and 6,419.37

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Solution

The fourth proportional to 7,085.64, 10,675.74 and 6,419.37 is: 9,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.64 : 10,675.74 = 6,419.37 : x
  2. Step 2: Convert to fraction form
    7,085.64/10,675.74 = 6,419.37/x
  3. Step 3: Cross multiply
    7,085.64x = 10,675.74 × 6,419.37
  4. Step 4: Simplify right side
    7,085.64x = 68,531,525.08
  5. Step 5: Solve for x
    x = 68,531,525.08/7,085.64
  6. Step 6: Final answer
    x = 9,671.89

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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.