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Finding the Fourth Proportional to 10,615.84, 14,643.36 and 6,844

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Solution

The fourth proportional to 10,615.84, 14,643.36 and 6,844 is: 9,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.84 : 14,643.36 = 6,844 : x
  2. Step 2: Convert to fraction form
    10,615.84/14,643.36 = 6,844/x
  3. Step 3: Cross multiply
    10,615.84x = 14,643.36 × 6,844
  4. Step 4: Simplify right side
    10,615.84x = 100,219,155.84
  5. Step 5: Solve for x
    x = 100,219,155.84/10,615.84
  6. Step 6: Final answer
    x = 9,440.53

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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.