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Finding the Fourth Proportional to 8,357.63, 11,533.95 and 4,772.93

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Solution

The fourth proportional to 8,357.63, 11,533.95 and 4,772.93 is: 6,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.63 : 11,533.95 = 4,772.93 : x
  2. Step 2: Convert to fraction form
    8,357.63/11,533.95 = 4,772.93/x
  3. Step 3: Cross multiply
    8,357.63x = 11,533.95 × 4,772.93
  4. Step 4: Simplify right side
    8,357.63x = 55,050,678.30
  5. Step 5: Solve for x
    x = 55,050,678.30/8,357.63
  6. Step 6: Final answer
    x = 6,586.88

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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.