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Finding the Fourth Proportional to 7,123.29, 10,678.07 and 4,783.93

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Solution

The fourth proportional to 7,123.29, 10,678.07 and 4,783.93 is: 7,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.29 : 10,678.07 = 4,783.93 : x
  2. Step 2: Convert to fraction form
    7,123.29/10,678.07 = 4,783.93/x
  3. Step 3: Cross multiply
    7,123.29x = 10,678.07 × 4,783.93
  4. Step 4: Simplify right side
    7,123.29x = 51,083,139.42
  5. Step 5: Solve for x
    x = 51,083,139.42/7,123.29
  6. Step 6: Final answer
    x = 7,171.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.