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Finding the Fourth Proportional to 10,367.58, 15,548.85 and 2,970.30

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Solution

The fourth proportional to 10,367.58, 15,548.85 and 2,970.30 is: 4,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.58 : 15,548.85 = 2,970.30 : x
  2. Step 2: Convert to fraction form
    10,367.58/15,548.85 = 2,970.30/x
  3. Step 3: Cross multiply
    10,367.58x = 15,548.85 × 2,970.30
  4. Step 4: Simplify right side
    10,367.58x = 46,184,749.16
  5. Step 5: Solve for x
    x = 46,184,749.16/10,367.58
  6. Step 6: Final answer
    x = 4,454.73

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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.