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Finding the Fourth Proportional to 10,598.19, 15,899.04 and 3,578.87

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Solution

The fourth proportional to 10,598.19, 15,899.04 and 3,578.87 is: 5,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.19 : 15,899.04 = 3,578.87 : x
  2. Step 2: Convert to fraction form
    10,598.19/15,899.04 = 3,578.87/x
  3. Step 3: Cross multiply
    10,598.19x = 15,899.04 × 3,578.87
  4. Step 4: Simplify right side
    10,598.19x = 56,900,517.79
  5. Step 5: Solve for x
    x = 56,900,517.79/10,598.19
  6. Step 6: Final answer
    x = 5,368.89

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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.