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Finding the Fourth Proportional to 10,460.95, 15,687.47 and 4,219.36

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Solution

The fourth proportional to 10,460.95, 15,687.47 and 4,219.36 is: 6,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.95 : 15,687.47 = 4,219.36 : x
  2. Step 2: Convert to fraction form
    10,460.95/15,687.47 = 4,219.36/x
  3. Step 3: Cross multiply
    10,460.95x = 15,687.47 × 4,219.36
  4. Step 4: Simplify right side
    10,460.95x = 66,191,054.75
  5. Step 5: Solve for x
    x = 66,191,054.75/10,460.95
  6. Step 6: Final answer
    x = 6,327.44

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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.