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Finding the Fourth Proportional to 10,589.67, 15,884.51 and 4,348.62

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Solution

The fourth proportional to 10,589.67, 15,884.51 and 4,348.62 is: 6,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.67 : 15,884.51 = 4,348.62 : x
  2. Step 2: Convert to fraction form
    10,589.67/15,884.51 = 4,348.62/x
  3. Step 3: Cross multiply
    10,589.67x = 15,884.51 × 4,348.62
  4. Step 4: Simplify right side
    10,589.67x = 69,075,676.13
  5. Step 5: Solve for x
    x = 69,075,676.13/10,589.67
  6. Step 6: Final answer
    x = 6,522.93

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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.