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Finding the Fourth Proportional to 11,387.01, 17,075.49 and 5,146.77

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Solution

The fourth proportional to 11,387.01, 17,075.49 and 5,146.77 is: 7,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.01 : 17,075.49 = 5,146.77 : x
  2. Step 2: Convert to fraction form
    11,387.01/17,075.49 = 5,146.77/x
  3. Step 3: Cross multiply
    11,387.01x = 17,075.49 × 5,146.77
  4. Step 4: Simplify right side
    11,387.01x = 87,883,693.35
  5. Step 5: Solve for x
    x = 87,883,693.35/11,387.01
  6. Step 6: Final answer
    x = 7,717.89

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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.