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Finding the Fourth Proportional to 7,261.65, 10,021.86 and 4,117.50

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Solution

The fourth proportional to 7,261.65, 10,021.86 and 4,117.50 is: 5,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.65 : 10,021.86 = 4,117.50 : x
  2. Step 2: Convert to fraction form
    7,261.65/10,021.86 = 4,117.50/x
  3. Step 3: Cross multiply
    7,261.65x = 10,021.86 × 4,117.50
  4. Step 4: Simplify right side
    7,261.65x = 41,265,008.55
  5. Step 5: Solve for x
    x = 41,265,008.55/7,261.65
  6. Step 6: Final answer
    x = 5,682.59

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