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Finding the Fourth Proportional to 8,485.40, 12,752.40 and 7,416.20

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Solution

The fourth proportional to 8,485.40, 12,752.40 and 7,416.20 is: 11,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.40 : 12,752.40 = 7,416.20 : x
  2. Step 2: Convert to fraction form
    8,485.40/12,752.40 = 7,416.20/x
  3. Step 3: Cross multiply
    8,485.40x = 12,752.40 × 7,416.20
  4. Step 4: Simplify right side
    8,485.40x = 94,574,348.88
  5. Step 5: Solve for x
    x = 94,574,348.88/8,485.40
  6. Step 6: Final answer
    x = 11,145.54

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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.