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Finding the Fourth Proportional to 7,426.94, 10,257.06 and 5,047.52

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Solution

The fourth proportional to 7,426.94, 10,257.06 and 5,047.52 is: 6,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.94 : 10,257.06 = 5,047.52 : x
  2. Step 2: Convert to fraction form
    7,426.94/10,257.06 = 5,047.52/x
  3. Step 3: Cross multiply
    7,426.94x = 10,257.06 × 5,047.52
  4. Step 4: Simplify right side
    7,426.94x = 51,772,715.49
  5. Step 5: Solve for x
    x = 51,772,715.49/7,426.94
  6. Step 6: Final answer
    x = 6,970.93

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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.