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Finding the Fourth Proportional to 10,678.65, 16,019.64 and 5,130.96

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Solution

The fourth proportional to 10,678.65, 16,019.64 and 5,130.96 is: 7,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.65 : 16,019.64 = 5,130.96 : x
  2. Step 2: Convert to fraction form
    10,678.65/16,019.64 = 5,130.96/x
  3. Step 3: Cross multiply
    10,678.65x = 16,019.64 × 5,130.96
  4. Step 4: Simplify right side
    10,678.65x = 82,196,132.05
  5. Step 5: Solve for x
    x = 82,196,132.05/10,678.65
  6. Step 6: Final answer
    x = 7,697.24

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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.