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Finding the Fourth Proportional to 8,420.40, 11,619.88 and 5,278.32

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Solution

The fourth proportional to 8,420.40, 11,619.88 and 5,278.32 is: 7,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.40 : 11,619.88 = 5,278.32 : x
  2. Step 2: Convert to fraction form
    8,420.40/11,619.88 = 5,278.32/x
  3. Step 3: Cross multiply
    8,420.40x = 11,619.88 × 5,278.32
  4. Step 4: Simplify right side
    8,420.40x = 61,333,445.00
  5. Step 5: Solve for x
    x = 61,333,445.00/8,420.40
  6. Step 6: Final answer
    x = 7,283.91

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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.