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Finding the Fourth Proportional to 10,548.86, 15,825.05 and 4,312.22

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Solution

The fourth proportional to 10,548.86, 15,825.05 and 4,312.22 is: 6,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.86 : 15,825.05 = 4,312.22 : x
  2. Step 2: Convert to fraction form
    10,548.86/15,825.05 = 4,312.22/x
  3. Step 3: Cross multiply
    10,548.86x = 15,825.05 × 4,312.22
  4. Step 4: Simplify right side
    10,548.86x = 68,241,075.55
  5. Step 5: Solve for x
    x = 68,241,075.55/10,548.86
  6. Step 6: Final answer
    x = 6,469.05

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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.