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Finding the Fourth Proportional to 10,838.64, 14,957.32 and 6,122.84

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Solution

The fourth proportional to 10,838.64, 14,957.32 and 6,122.84 is: 8,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.64 : 14,957.32 = 6,122.84 : x
  2. Step 2: Convert to fraction form
    10,838.64/14,957.32 = 6,122.84/x
  3. Step 3: Cross multiply
    10,838.64x = 14,957.32 × 6,122.84
  4. Step 4: Simplify right side
    10,838.64x = 91,581,277.19
  5. Step 5: Solve for x
    x = 91,581,277.19/10,838.64
  6. Step 6: Final answer
    x = 8,449.52

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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.