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Finding the Fourth Proportional to 10,300.68, 14,214.94 and 5,584.94

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Solution

The fourth proportional to 10,300.68, 14,214.94 and 5,584.94 is: 7,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.68 : 14,214.94 = 5,584.94 : x
  2. Step 2: Convert to fraction form
    10,300.68/14,214.94 = 5,584.94/x
  3. Step 3: Cross multiply
    10,300.68x = 14,214.94 × 5,584.94
  4. Step 4: Simplify right side
    10,300.68x = 79,389,587.00
  5. Step 5: Solve for x
    x = 79,389,587.00/10,300.68
  6. Step 6: Final answer
    x = 7,707.22

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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.