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Finding the Fourth Proportional to 8,478.02, 11,698.50 and 4,938.50

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Solution

The fourth proportional to 8,478.02, 11,698.50 and 4,938.50 is: 6,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.02 : 11,698.50 = 4,938.50 : x
  2. Step 2: Convert to fraction form
    8,478.02/11,698.50 = 4,938.50/x
  3. Step 3: Cross multiply
    8,478.02x = 11,698.50 × 4,938.50
  4. Step 4: Simplify right side
    8,478.02x = 57,773,042.25
  5. Step 5: Solve for x
    x = 57,773,042.25/8,478.02
  6. Step 6: Final answer
    x = 6,814.45

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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.