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Finding the Fourth Proportional to 7,535.42, 11,303.08 and 4,094.54

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Solution

The fourth proportional to 7,535.42, 11,303.08 and 4,094.54 is: 6,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.42 : 11,303.08 = 4,094.54 : x
  2. Step 2: Convert to fraction form
    7,535.42/11,303.08 = 4,094.54/x
  3. Step 3: Cross multiply
    7,535.42x = 11,303.08 × 4,094.54
  4. Step 4: Simplify right side
    7,535.42x = 46,280,913.18
  5. Step 5: Solve for x
    x = 46,280,913.18/7,535.42
  6. Step 6: Final answer
    x = 6,141.78

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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.