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Finding the Fourth Proportional to 7,389.93, 10,199.37 and 7,057.77

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Solution

The fourth proportional to 7,389.93, 10,199.37 and 7,057.77 is: 9,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.93 : 10,199.37 = 7,057.77 : x
  2. Step 2: Convert to fraction form
    7,389.93/10,199.37 = 7,057.77/x
  3. Step 3: Cross multiply
    7,389.93x = 10,199.37 × 7,057.77
  4. Step 4: Simplify right side
    7,389.93x = 71,984,807.60
  5. Step 5: Solve for x
    x = 71,984,807.60/7,389.93
  6. Step 6: Final answer
    x = 9,740.93

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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.