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Finding the Fourth Proportional to 11,175.53, 16,765.32 and 4,598.06

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Solution

The fourth proportional to 11,175.53, 16,765.32 and 4,598.06 is: 6,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.53 : 16,765.32 = 4,598.06 : x
  2. Step 2: Convert to fraction form
    11,175.53/16,765.32 = 4,598.06/x
  3. Step 3: Cross multiply
    11,175.53x = 16,765.32 × 4,598.06
  4. Step 4: Simplify right side
    11,175.53x = 77,087,947.28
  5. Step 5: Solve for x
    x = 77,087,947.28/11,175.53
  6. Step 6: Final answer
    x = 6,897.92

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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.