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Finding the Fourth Proportional to 7,341.98, 11,009.31 and 2,411.06

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Solution

The fourth proportional to 7,341.98, 11,009.31 and 2,411.06 is: 3,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.98 : 11,009.31 = 2,411.06 : x
  2. Step 2: Convert to fraction form
    7,341.98/11,009.31 = 2,411.06/x
  3. Step 3: Cross multiply
    7,341.98x = 11,009.31 × 2,411.06
  4. Step 4: Simplify right side
    7,341.98x = 26,544,106.97
  5. Step 5: Solve for x
    x = 26,544,106.97/7,341.98
  6. Step 6: Final answer
    x = 3,615.39

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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.