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Finding the Fourth Proportional to 7,742.59, 11,613.88 and 1,899.15

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Solution

The fourth proportional to 7,742.59, 11,613.88 and 1,899.15 is: 2,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.59 : 11,613.88 = 1,899.15 : x
  2. Step 2: Convert to fraction form
    7,742.59/11,613.88 = 1,899.15/x
  3. Step 3: Cross multiply
    7,742.59x = 11,613.88 × 1,899.15
  4. Step 4: Simplify right side
    7,742.59x = 22,056,459.02
  5. Step 5: Solve for x
    x = 22,056,459.02/7,742.59
  6. Step 6: Final answer
    x = 2,848.72

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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.