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Finding the Fourth Proportional to 11,771.70, 17,657.55 and 7,392.23

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Solution

The fourth proportional to 11,771.70, 17,657.55 and 7,392.23 is: 11,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.70 : 17,657.55 = 7,392.23 : x
  2. Step 2: Convert to fraction form
    11,771.70/17,657.55 = 7,392.23/x
  3. Step 3: Cross multiply
    11,771.70x = 17,657.55 × 7,392.23
  4. Step 4: Simplify right side
    11,771.70x = 130,528,670.84
  5. Step 5: Solve for x
    x = 130,528,670.84/11,771.70
  6. Step 6: Final answer
    x = 11,088.35

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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.