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Finding the Fourth Proportional to 7,533.86, 11,302.62 and 2,339.78

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Solution

The fourth proportional to 7,533.86, 11,302.62 and 2,339.78 is: 3,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.86 : 11,302.62 = 2,339.78 : x
  2. Step 2: Convert to fraction form
    7,533.86/11,302.62 = 2,339.78/x
  3. Step 3: Cross multiply
    7,533.86x = 11,302.62 × 2,339.78
  4. Step 4: Simplify right side
    7,533.86x = 26,445,644.22
  5. Step 5: Solve for x
    x = 26,445,644.22/7,533.86
  6. Step 6: Final answer
    x = 3,510.24

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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.