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Finding the Fourth Proportional to 10,594.08, 15,885.24 and 5,048.64

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Solution

The fourth proportional to 10,594.08, 15,885.24 and 5,048.64 is: 7,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.08 : 15,885.24 = 5,048.64 : x
  2. Step 2: Convert to fraction form
    10,594.08/15,885.24 = 5,048.64/x
  3. Step 3: Cross multiply
    10,594.08x = 15,885.24 × 5,048.64
  4. Step 4: Simplify right side
    10,594.08x = 80,198,858.07
  5. Step 5: Solve for x
    x = 80,198,858.07/10,594.08
  6. Step 6: Final answer
    x = 7,570.16

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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.