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Finding the Fourth Proportional to 10,703.12, 14,771.42 and 6,727.28

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Solution

The fourth proportional to 10,703.12, 14,771.42 and 6,727.28 is: 9,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.12 : 14,771.42 = 6,727.28 : x
  2. Step 2: Convert to fraction form
    10,703.12/14,771.42 = 6,727.28/x
  3. Step 3: Cross multiply
    10,703.12x = 14,771.42 × 6,727.28
  4. Step 4: Simplify right side
    10,703.12x = 99,371,478.34
  5. Step 5: Solve for x
    x = 99,371,478.34/10,703.12
  6. Step 6: Final answer
    x = 9,284.35

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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.