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Finding the Fourth Proportional to 7,316, 10,099.68 and 5,719.83

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Solution

The fourth proportional to 7,316, 10,099.68 and 5,719.83 is: 7,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316 : 10,099.68 = 5,719.83 : x
  2. Step 2: Convert to fraction form
    7,316/10,099.68 = 5,719.83/x
  3. Step 3: Cross multiply
    7,316x = 10,099.68 × 5,719.83
  4. Step 4: Simplify right side
    7,316x = 57,768,452.65
  5. Step 5: Solve for x
    x = 57,768,452.65/7,316
  6. Step 6: Final answer
    x = 7,896.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.