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Finding the Fourth Proportional to 25,065, 37,597.50 and 7,534.85

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Solution

The fourth proportional to 25,065, 37,597.50 and 7,534.85 is: 11,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,065 : 37,597.50 = 7,534.85 : x
  2. Step 2: Convert to fraction form
    25,065/37,597.50 = 7,534.85/x
  3. Step 3: Cross multiply
    25,065x = 37,597.50 × 7,534.85
  4. Step 4: Simplify right side
    25,065x = 283,291,334.89
  5. Step 5: Solve for x
    x = 283,291,334.89/25,065
  6. Step 6: Final answer
    x = 11,302.27

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