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Finding the Fourth Proportional to 11,546.55, 17,312.54 and 4,970.97

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Solution

The fourth proportional to 11,546.55, 17,312.54 and 4,970.97 is: 7,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.55 : 17,312.54 = 4,970.97 : x
  2. Step 2: Convert to fraction form
    11,546.55/17,312.54 = 4,970.97/x
  3. Step 3: Cross multiply
    11,546.55x = 17,312.54 × 4,970.97
  4. Step 4: Simplify right side
    11,546.55x = 86,060,092.11
  5. Step 5: Solve for x
    x = 86,060,092.11/11,546.55
  6. Step 6: Final answer
    x = 7,453.32

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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.