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Finding the Fourth Proportional to 10,647.42, 15,970.23 and 4,803.90

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Solution

The fourth proportional to 10,647.42, 15,970.23 and 4,803.90 is: 7,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.42 : 15,970.23 = 4,803.90 : x
  2. Step 2: Convert to fraction form
    10,647.42/15,970.23 = 4,803.90/x
  3. Step 3: Cross multiply
    10,647.42x = 15,970.23 × 4,803.90
  4. Step 4: Simplify right side
    10,647.42x = 76,719,387.90
  5. Step 5: Solve for x
    x = 76,719,387.90/10,647.42
  6. Step 6: Final answer
    x = 7,205.44

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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.