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Finding the Fourth Proportional to 7,359.96, 10,137.30 and 5,681.46

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Solution

The fourth proportional to 7,359.96, 10,137.30 and 5,681.46 is: 7,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359.96 : 10,137.30 = 5,681.46 : x
  2. Step 2: Convert to fraction form
    7,359.96/10,137.30 = 5,681.46/x
  3. Step 3: Cross multiply
    7,359.96x = 10,137.30 × 5,681.46
  4. Step 4: Simplify right side
    7,359.96x = 57,594,664.46
  5. Step 5: Solve for x
    x = 57,594,664.46/7,359.96
  6. Step 6: Final answer
    x = 7,825.40

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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.