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Finding the Fourth Proportional to 7,113.88, 10,674.33 and 5,047.17

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Solution

The fourth proportional to 7,113.88, 10,674.33 and 5,047.17 is: 7,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.88 : 10,674.33 = 5,047.17 : x
  2. Step 2: Convert to fraction form
    7,113.88/10,674.33 = 5,047.17/x
  3. Step 3: Cross multiply
    7,113.88x = 10,674.33 × 5,047.17
  4. Step 4: Simplify right side
    7,113.88x = 53,875,158.15
  5. Step 5: Solve for x
    x = 53,875,158.15/7,113.88
  6. Step 6: Final answer
    x = 7,573.25

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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.