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Finding the Fourth Proportional to 10,521.42, 15,788.61 and 5,845.02

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Solution

The fourth proportional to 10,521.42, 15,788.61 and 5,845.02 is: 8,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.42 : 15,788.61 = 5,845.02 : x
  2. Step 2: Convert to fraction form
    10,521.42/15,788.61 = 5,845.02/x
  3. Step 3: Cross multiply
    10,521.42x = 15,788.61 × 5,845.02
  4. Step 4: Simplify right side
    10,521.42x = 92,284,741.22
  5. Step 5: Solve for x
    x = 92,284,741.22/10,521.42
  6. Step 6: Final answer
    x = 8,771.13

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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.