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Finding the Fourth Proportional to 7,292.49, 10,064.39 and 4,461.75

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Solution

The fourth proportional to 7,292.49, 10,064.39 and 4,461.75 is: 6,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.49 : 10,064.39 = 4,461.75 : x
  2. Step 2: Convert to fraction form
    7,292.49/10,064.39 = 4,461.75/x
  3. Step 3: Cross multiply
    7,292.49x = 10,064.39 × 4,461.75
  4. Step 4: Simplify right side
    7,292.49x = 44,904,719.45
  5. Step 5: Solve for x
    x = 44,904,719.45/7,292.49
  6. Step 6: Final answer
    x = 6,157.67

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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.