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Finding the Fourth Proportional to 7,457, 10,290.66 and 4,145

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Solution

The fourth proportional to 7,457, 10,290.66 and 4,145 is: 5,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457 : 10,290.66 = 4,145 : x
  2. Step 2: Convert to fraction form
    7,457/10,290.66 = 4,145/x
  3. Step 3: Cross multiply
    7,457x = 10,290.66 × 4,145
  4. Step 4: Simplify right side
    7,457x = 42,654,785.70
  5. Step 5: Solve for x
    x = 42,654,785.70/7,457
  6. Step 6: Final answer
    x = 5,720.10

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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.