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Finding the Fourth Proportional to 7,342.02, 11,014.02 and 2,409.93

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Solution

The fourth proportional to 7,342.02, 11,014.02 and 2,409.93 is: 3,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.02 : 11,014.02 = 2,409.93 : x
  2. Step 2: Convert to fraction form
    7,342.02/11,014.02 = 2,409.93/x
  3. Step 3: Cross multiply
    7,342.02x = 11,014.02 × 2,409.93
  4. Step 4: Simplify right side
    7,342.02x = 26,543,017.22
  5. Step 5: Solve for x
    x = 26,543,017.22/7,342.02
  6. Step 6: Final answer
    x = 3,615.22

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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.