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Finding the Fourth Proportional to 7,523.64, 11,293.08 and 4,409.64

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Solution

The fourth proportional to 7,523.64, 11,293.08 and 4,409.64 is: 6,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.64 : 11,293.08 = 4,409.64 : x
  2. Step 2: Convert to fraction form
    7,523.64/11,293.08 = 4,409.64/x
  3. Step 3: Cross multiply
    7,523.64x = 11,293.08 × 4,409.64
  4. Step 4: Simplify right side
    7,523.64x = 49,798,417.29
  5. Step 5: Solve for x
    x = 49,798,417.29/7,523.64
  6. Step 6: Final answer
    x = 6,618.93

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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.