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Finding the Fourth Proportional to 8,719.62, 13,085.14 and 5,207

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Solution

The fourth proportional to 8,719.62, 13,085.14 and 5,207 is: 7,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.62 : 13,085.14 = 5,207 : x
  2. Step 2: Convert to fraction form
    8,719.62/13,085.14 = 5,207/x
  3. Step 3: Cross multiply
    8,719.62x = 13,085.14 × 5,207
  4. Step 4: Simplify right side
    8,719.62x = 68,134,323.98
  5. Step 5: Solve for x
    x = 68,134,323.98/8,719.62
  6. Step 6: Final answer
    x = 7,813.91

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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.