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Finding the Fourth Proportional to 11,149.76, 15,386.76 and 6,114.03

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Solution

The fourth proportional to 11,149.76, 15,386.76 and 6,114.03 is: 8,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.76 : 15,386.76 = 6,114.03 : x
  2. Step 2: Convert to fraction form
    11,149.76/15,386.76 = 6,114.03/x
  3. Step 3: Cross multiply
    11,149.76x = 15,386.76 × 6,114.03
  4. Step 4: Simplify right side
    11,149.76x = 94,075,112.24
  5. Step 5: Solve for x
    x = 94,075,112.24/11,149.76
  6. Step 6: Final answer
    x = 8,437.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.