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Finding the Fourth Proportional to 11,598.64, 17,377.80 and 6,043.48

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Solution

The fourth proportional to 11,598.64, 17,377.80 and 6,043.48 is: 9,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.64 : 17,377.80 = 6,043.48 : x
  2. Step 2: Convert to fraction form
    11,598.64/17,377.80 = 6,043.48/x
  3. Step 3: Cross multiply
    11,598.64x = 17,377.80 × 6,043.48
  4. Step 4: Simplify right side
    11,598.64x = 105,022,386.74
  5. Step 5: Solve for x
    x = 105,022,386.74/11,598.64
  6. Step 6: Final answer
    x = 9,054.72

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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.