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Finding the Fourth Proportional to 7,669.95, 11,482.44 and 5,828.41

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Solution

The fourth proportional to 7,669.95, 11,482.44 and 5,828.41 is: 8,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.95 : 11,482.44 = 5,828.41 : x
  2. Step 2: Convert to fraction form
    7,669.95/11,482.44 = 5,828.41/x
  3. Step 3: Cross multiply
    7,669.95x = 11,482.44 × 5,828.41
  4. Step 4: Simplify right side
    7,669.95x = 66,924,368.12
  5. Step 5: Solve for x
    x = 66,924,368.12/7,669.95
  6. Step 6: Final answer
    x = 8,725.53

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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.