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Finding the Fourth Proportional to 11,097.48, 16,642.16 and 4,075.18

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Solution

The fourth proportional to 11,097.48, 16,642.16 and 4,075.18 is: 6,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.48 : 16,642.16 = 4,075.18 : x
  2. Step 2: Convert to fraction form
    11,097.48/16,642.16 = 4,075.18/x
  3. Step 3: Cross multiply
    11,097.48x = 16,642.16 × 4,075.18
  4. Step 4: Simplify right side
    11,097.48x = 67,819,797.59
  5. Step 5: Solve for x
    x = 67,819,797.59/11,097.48
  6. Step 6: Final answer
    x = 6,111.28

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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.