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Finding the Fourth Proportional to 8,767.50, 12,097.15 and 5,230

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Solution

The fourth proportional to 8,767.50, 12,097.15 and 5,230 is: 7,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.50 : 12,097.15 = 5,230 : x
  2. Step 2: Convert to fraction form
    8,767.50/12,097.15 = 5,230/x
  3. Step 3: Cross multiply
    8,767.50x = 12,097.15 × 5,230
  4. Step 4: Simplify right side
    8,767.50x = 63,268,094.50
  5. Step 5: Solve for x
    x = 63,268,094.50/8,767.50
  6. Step 6: Final answer
    x = 7,216.21

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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.