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Finding the Fourth Proportional to 8,277.68, 12,416.48 and 3,597.08

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Solution

The fourth proportional to 8,277.68, 12,416.48 and 3,597.08 is: 5,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.68 : 12,416.48 = 3,597.08 : x
  2. Step 2: Convert to fraction form
    8,277.68/12,416.48 = 3,597.08/x
  3. Step 3: Cross multiply
    8,277.68x = 12,416.48 × 3,597.08
  4. Step 4: Simplify right side
    8,277.68x = 44,663,071.88
  5. Step 5: Solve for x
    x = 44,663,071.88/8,277.68
  6. Step 6: Final answer
    x = 5,395.60

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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.