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Finding the Fourth Proportional to 10,555.65, 15,827.19 and 3,533.96

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Solution

The fourth proportional to 10,555.65, 15,827.19 and 3,533.96 is: 5,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.65 : 15,827.19 = 3,533.96 : x
  2. Step 2: Convert to fraction form
    10,555.65/15,827.19 = 3,533.96/x
  3. Step 3: Cross multiply
    10,555.65x = 15,827.19 × 3,533.96
  4. Step 4: Simplify right side
    10,555.65x = 55,932,656.37
  5. Step 5: Solve for x
    x = 55,932,656.37/10,555.65
  6. Step 6: Final answer
    x = 5,298.84

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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.