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Finding the Fourth Proportional to 13,007.10, 19,503.45 and 5,207.10

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Solution

The fourth proportional to 13,007.10, 19,503.45 and 5,207.10 is: 7,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.10 : 19,503.45 = 5,207.10 : x
  2. Step 2: Convert to fraction form
    13,007.10/19,503.45 = 5,207.10/x
  3. Step 3: Cross multiply
    13,007.10x = 19,503.45 × 5,207.10
  4. Step 4: Simplify right side
    13,007.10x = 101,556,414.50
  5. Step 5: Solve for x
    x = 101,556,414.50/13,007.10
  6. Step 6: Final answer
    x = 7,807.77

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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.