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Finding the Fourth Proportional to 11,598.68, 17,409.41 and 6,056.46

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Solution

The fourth proportional to 11,598.68, 17,409.41 and 6,056.46 is: 9,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.68 : 17,409.41 = 6,056.46 : x
  2. Step 2: Convert to fraction form
    11,598.68/17,409.41 = 6,056.46/x
  3. Step 3: Cross multiply
    11,598.68x = 17,409.41 × 6,056.46
  4. Step 4: Simplify right side
    11,598.68x = 105,439,395.29
  5. Step 5: Solve for x
    x = 105,439,395.29/11,598.68
  6. Step 6: Final answer
    x = 9,090.64

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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.