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Finding the Fourth Proportional to 7,064.10, 9,748.74 and 3,877.51

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Solution

The fourth proportional to 7,064.10, 9,748.74 and 3,877.51 is: 5,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.10 : 9,748.74 = 3,877.51 : x
  2. Step 2: Convert to fraction form
    7,064.10/9,748.74 = 3,877.51/x
  3. Step 3: Cross multiply
    7,064.10x = 9,748.74 × 3,877.51
  4. Step 4: Simplify right side
    7,064.10x = 37,800,836.84
  5. Step 5: Solve for x
    x = 37,800,836.84/7,064.10
  6. Step 6: Final answer
    x = 5,351.12

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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.