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Finding the Fourth Proportional to 8,280.65, 11,432.40 and 5,698.03

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Solution

The fourth proportional to 8,280.65, 11,432.40 and 5,698.03 is: 7,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.65 : 11,432.40 = 5,698.03 : x
  2. Step 2: Convert to fraction form
    8,280.65/11,432.40 = 5,698.03/x
  3. Step 3: Cross multiply
    8,280.65x = 11,432.40 × 5,698.03
  4. Step 4: Simplify right side
    8,280.65x = 65,142,158.17
  5. Step 5: Solve for x
    x = 65,142,158.17/8,280.65
  6. Step 6: Final answer
    x = 7,866.79

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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.