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Finding the Fourth Proportional to 7,898.69, 11,848.02 and 2,055.14

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Solution

The fourth proportional to 7,898.69, 11,848.02 and 2,055.14 is: 3,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.69 : 11,848.02 = 2,055.14 : x
  2. Step 2: Convert to fraction form
    7,898.69/11,848.02 = 2,055.14/x
  3. Step 3: Cross multiply
    7,898.69x = 11,848.02 × 2,055.14
  4. Step 4: Simplify right side
    7,898.69x = 24,349,339.82
  5. Step 5: Solve for x
    x = 24,349,339.82/7,898.69
  6. Step 6: Final answer
    x = 3,082.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.