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Finding the Fourth Proportional to 10,467.95, 15,722.73 and 6,259.32

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Solution

The fourth proportional to 10,467.95, 15,722.73 and 6,259.32 is: 9,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.95 : 15,722.73 = 6,259.32 : x
  2. Step 2: Convert to fraction form
    10,467.95/15,722.73 = 6,259.32/x
  3. Step 3: Cross multiply
    10,467.95x = 15,722.73 × 6,259.32
  4. Step 4: Simplify right side
    10,467.95x = 98,413,598.34
  5. Step 5: Solve for x
    x = 98,413,598.34/10,467.95
  6. Step 6: Final answer
    x = 9,401.42

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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.