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Finding the Fourth Proportional to 10,297.24, 15,417.06 and 5,356.12

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Solution

The fourth proportional to 10,297.24, 15,417.06 and 5,356.12 is: 8,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.24 : 15,417.06 = 5,356.12 : x
  2. Step 2: Convert to fraction form
    10,297.24/15,417.06 = 5,356.12/x
  3. Step 3: Cross multiply
    10,297.24x = 15,417.06 × 5,356.12
  4. Step 4: Simplify right side
    10,297.24x = 82,575,623.41
  5. Step 5: Solve for x
    x = 82,575,623.41/10,297.24
  6. Step 6: Final answer
    x = 8,019.20

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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.