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Finding the Fourth Proportional to 7,701.95, 11,549.25 and 3,317.63

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Solution

The fourth proportional to 7,701.95, 11,549.25 and 3,317.63 is: 4,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.95 : 11,549.25 = 3,317.63 : x
  2. Step 2: Convert to fraction form
    7,701.95/11,549.25 = 3,317.63/x
  3. Step 3: Cross multiply
    7,701.95x = 11,549.25 × 3,317.63
  4. Step 4: Simplify right side
    7,701.95x = 38,316,080.53
  5. Step 5: Solve for x
    x = 38,316,080.53/7,701.95
  6. Step 6: Final answer
    x = 4,974.85

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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.