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Finding the Fourth Proportional to 11,374.98, 15,704.94 and 7,343.61

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Solution

The fourth proportional to 11,374.98, 15,704.94 and 7,343.61 is: 10,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.98 : 15,704.94 = 7,343.61 : x
  2. Step 2: Convert to fraction form
    11,374.98/15,704.94 = 7,343.61/x
  3. Step 3: Cross multiply
    11,374.98x = 15,704.94 × 7,343.61
  4. Step 4: Simplify right side
    11,374.98x = 115,330,970.11
  5. Step 5: Solve for x
    x = 115,330,970.11/11,374.98
  6. Step 6: Final answer
    x = 10,139.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.