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Finding the Fourth Proportional to 7,210.13, 9,950.07 and 4,415.63

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Solution

The fourth proportional to 7,210.13, 9,950.07 and 4,415.63 is: 6,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.13 : 9,950.07 = 4,415.63 : x
  2. Step 2: Convert to fraction form
    7,210.13/9,950.07 = 4,415.63/x
  3. Step 3: Cross multiply
    7,210.13x = 9,950.07 × 4,415.63
  4. Step 4: Simplify right side
    7,210.13x = 43,935,794.40
  5. Step 5: Solve for x
    x = 43,935,794.40/7,210.13
  6. Step 6: Final answer
    x = 6,093.62

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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.