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Finding the Fourth Proportional to 10,287, 15,409.86 and 4,732.60

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Solution

The fourth proportional to 10,287, 15,409.86 and 4,732.60 is: 7,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287 : 15,409.86 = 4,732.60 : x
  2. Step 2: Convert to fraction form
    10,287/15,409.86 = 4,732.60/x
  3. Step 3: Cross multiply
    10,287x = 15,409.86 × 4,732.60
  4. Step 4: Simplify right side
    10,287x = 72,928,703.44
  5. Step 5: Solve for x
    x = 72,928,703.44/10,287
  6. Step 6: Final answer
    x = 7,089.40

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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.