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Finding the Fourth Proportional to 11,567.40, 17,358 and 4,993.58

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Solution

The fourth proportional to 11,567.40, 17,358 and 4,993.58 is: 7,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.40 : 17,358 = 4,993.58 : x
  2. Step 2: Convert to fraction form
    11,567.40/17,358 = 4,993.58/x
  3. Step 3: Cross multiply
    11,567.40x = 17,358 × 4,993.58
  4. Step 4: Simplify right side
    11,567.40x = 86,678,561.64
  5. Step 5: Solve for x
    x = 86,678,561.64/11,567.40
  6. Step 6: Final answer
    x = 7,493.35

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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.