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Finding the Fourth Proportional to 7,302.68, 10,077.14 and 4,158.24

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Solution

The fourth proportional to 7,302.68, 10,077.14 and 4,158.24 is: 5,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.68 : 10,077.14 = 4,158.24 : x
  2. Step 2: Convert to fraction form
    7,302.68/10,077.14 = 4,158.24/x
  3. Step 3: Cross multiply
    7,302.68x = 10,077.14 × 4,158.24
  4. Step 4: Simplify right side
    7,302.68x = 41,903,166.63
  5. Step 5: Solve for x
    x = 41,903,166.63/7,302.68
  6. Step 6: Final answer
    x = 5,738.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.