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Finding the Fourth Proportional to 7,805.64, 10,766.04 and 4,823.04

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Solution

The fourth proportional to 7,805.64, 10,766.04 and 4,823.04 is: 6,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.64 : 10,766.04 = 4,823.04 : x
  2. Step 2: Convert to fraction form
    7,805.64/10,766.04 = 4,823.04/x
  3. Step 3: Cross multiply
    7,805.64x = 10,766.04 × 4,823.04
  4. Step 4: Simplify right side
    7,805.64x = 51,925,041.56
  5. Step 5: Solve for x
    x = 51,925,041.56/7,805.64
  6. Step 6: Final answer
    x = 6,652.25

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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.