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Finding the Fourth Proportional to 7,343.54, 10,141.65 and 6,289.46

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Solution

The fourth proportional to 7,343.54, 10,141.65 and 6,289.46 is: 8,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.54 : 10,141.65 = 6,289.46 : x
  2. Step 2: Convert to fraction form
    7,343.54/10,141.65 = 6,289.46/x
  3. Step 3: Cross multiply
    7,343.54x = 10,141.65 × 6,289.46
  4. Step 4: Simplify right side
    7,343.54x = 63,785,502.01
  5. Step 5: Solve for x
    x = 63,785,502.01/7,343.54
  6. Step 6: Final answer
    x = 8,685.93

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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.