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Finding the Fourth Proportional to 7,468.56, 10,306.86 and 4,111.50

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Solution

The fourth proportional to 7,468.56, 10,306.86 and 4,111.50 is: 5,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.56 : 10,306.86 = 4,111.50 : x
  2. Step 2: Convert to fraction form
    7,468.56/10,306.86 = 4,111.50/x
  3. Step 3: Cross multiply
    7,468.56x = 10,306.86 × 4,111.50
  4. Step 4: Simplify right side
    7,468.56x = 42,376,654.89
  5. Step 5: Solve for x
    x = 42,376,654.89/7,468.56
  6. Step 6: Final answer
    x = 5,674.01

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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.