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Finding the Fourth Proportional to 11,624.16, 17,438 and 4,698.40

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Solution

The fourth proportional to 11,624.16, 17,438 and 4,698.40 is: 7,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.16 : 17,438 = 4,698.40 : x
  2. Step 2: Convert to fraction form
    11,624.16/17,438 = 4,698.40/x
  3. Step 3: Cross multiply
    11,624.16x = 17,438 × 4,698.40
  4. Step 4: Simplify right side
    11,624.16x = 81,930,699.20
  5. Step 5: Solve for x
    x = 81,930,699.20/11,624.16
  6. Step 6: Final answer
    x = 7,048.31

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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.