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Finding the Fourth Proportional to 10,215.48, 14,098.68 and 6,024

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Solution

The fourth proportional to 10,215.48, 14,098.68 and 6,024 is: 8,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.48 : 14,098.68 = 6,024 : x
  2. Step 2: Convert to fraction form
    10,215.48/14,098.68 = 6,024/x
  3. Step 3: Cross multiply
    10,215.48x = 14,098.68 × 6,024
  4. Step 4: Simplify right side
    10,215.48x = 84,930,448.32
  5. Step 5: Solve for x
    x = 84,930,448.32/10,215.48
  6. Step 6: Final answer
    x = 8,313.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.