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Finding the Fourth Proportional to 8,275.36, 12,374.64 and 6,405.28

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Solution

The fourth proportional to 8,275.36, 12,374.64 and 6,405.28 is: 9,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.36 : 12,374.64 = 6,405.28 : x
  2. Step 2: Convert to fraction form
    8,275.36/12,374.64 = 6,405.28/x
  3. Step 3: Cross multiply
    8,275.36x = 12,374.64 × 6,405.28
  4. Step 4: Simplify right side
    8,275.36x = 79,263,034.10
  5. Step 5: Solve for x
    x = 79,263,034.10/8,275.36
  6. Step 6: Final answer
    x = 9,578.20

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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.