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Finding the Fourth Proportional to 11,153.47, 16,732.14 and 3,758.00

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Solution

The fourth proportional to 11,153.47, 16,732.14 and 3,758.00 is: 5,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.47 : 16,732.14 = 3,758.00 : x
  2. Step 2: Convert to fraction form
    11,153.47/16,732.14 = 3,758.00/x
  3. Step 3: Cross multiply
    11,153.47x = 16,732.14 × 3,758.00
  4. Step 4: Simplify right side
    11,153.47x = 62,879,316.07
  5. Step 5: Solve for x
    x = 62,879,316.07/11,153.47
  6. Step 6: Final answer
    x = 5,637.64

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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.