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Finding the Fourth Proportional to 7,461.59, 11,195.35 and 3,078.02

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Solution

The fourth proportional to 7,461.59, 11,195.35 and 3,078.02 is: 4,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.59 : 11,195.35 = 3,078.02 : x
  2. Step 2: Convert to fraction form
    7,461.59/11,195.35 = 3,078.02/x
  3. Step 3: Cross multiply
    7,461.59x = 11,195.35 × 3,078.02
  4. Step 4: Simplify right side
    7,461.59x = 34,459,468.53
  5. Step 5: Solve for x
    x = 34,459,468.53/7,461.59
  6. Step 6: Final answer
    x = 4,618.25

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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.