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Finding the Fourth Proportional to 10,074.51, 15,097.97 and 7,607.31

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Solution

The fourth proportional to 10,074.51, 15,097.97 and 7,607.31 is: 11,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.51 : 15,097.97 = 7,607.31 : x
  2. Step 2: Convert to fraction form
    10,074.51/15,097.97 = 7,607.31/x
  3. Step 3: Cross multiply
    10,074.51x = 15,097.97 × 7,607.31
  4. Step 4: Simplify right side
    10,074.51x = 114,854,900.12
  5. Step 5: Solve for x
    x = 114,854,900.12/10,074.51
  6. Step 6: Final answer
    x = 11,400.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.