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Finding the Fourth Proportional to 10,365.96, 14,300.97 and 6,380.16

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Solution

The fourth proportional to 10,365.96, 14,300.97 and 6,380.16 is: 8,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.96 : 14,300.97 = 6,380.16 : x
  2. Step 2: Convert to fraction form
    10,365.96/14,300.97 = 6,380.16/x
  3. Step 3: Cross multiply
    10,365.96x = 14,300.97 × 6,380.16
  4. Step 4: Simplify right side
    10,365.96x = 91,242,476.76
  5. Step 5: Solve for x
    x = 91,242,476.76/10,365.96
  6. Step 6: Final answer
    x = 8,802.13

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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.