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Finding the Fourth Proportional to 10,218.30, 14,110.20 and 6,448.20

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Solution

The fourth proportional to 10,218.30, 14,110.20 and 6,448.20 is: 8,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.30 : 14,110.20 = 6,448.20 : x
  2. Step 2: Convert to fraction form
    10,218.30/14,110.20 = 6,448.20/x
  3. Step 3: Cross multiply
    10,218.30x = 14,110.20 × 6,448.20
  4. Step 4: Simplify right side
    10,218.30x = 90,985,391.64
  5. Step 5: Solve for x
    x = 90,985,391.64/10,218.30
  6. Step 6: Final answer
    x = 8,904.16

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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.