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Finding the Fourth Proportional to 6,715.40, 10,073.16 and 1,785.74

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Solution

The fourth proportional to 6,715.40, 10,073.16 and 1,785.74 is: 2,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.40 : 10,073.16 = 1,785.74 : x
  2. Step 2: Convert to fraction form
    6,715.40/10,073.16 = 1,785.74/x
  3. Step 3: Cross multiply
    6,715.40x = 10,073.16 × 1,785.74
  4. Step 4: Simplify right side
    6,715.40x = 17,987,994.37
  5. Step 5: Solve for x
    x = 17,987,994.37/6,715.40
  6. Step 6: Final answer
    x = 2,678.62

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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.