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Finding the Fourth Proportional to 8,264.40, 12,386.16 and 4,797.60

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Solution

The fourth proportional to 8,264.40, 12,386.16 and 4,797.60 is: 7,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.40 : 12,386.16 = 4,797.60 : x
  2. Step 2: Convert to fraction form
    8,264.40/12,386.16 = 4,797.60/x
  3. Step 3: Cross multiply
    8,264.40x = 12,386.16 × 4,797.60
  4. Step 4: Simplify right side
    8,264.40x = 59,423,841.22
  5. Step 5: Solve for x
    x = 59,423,841.22/8,264.40
  6. Step 6: Final answer
    x = 7,190.34

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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.