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Finding the Fourth Proportional to 7,589.70, 10,477.11 and 4,606.50

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Solution

The fourth proportional to 7,589.70, 10,477.11 and 4,606.50 is: 6,358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.70 : 10,477.11 = 4,606.50 : x
  2. Step 2: Convert to fraction form
    7,589.70/10,477.11 = 4,606.50/x
  3. Step 3: Cross multiply
    7,589.70x = 10,477.11 × 4,606.50
  4. Step 4: Simplify right side
    7,589.70x = 48,262,807.22
  5. Step 5: Solve for x
    x = 48,262,807.22/7,589.70
  6. Step 6: Final answer
    x = 6,358.99

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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.