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Finding the Fourth Proportional to 10,077.59, 15,116.72 and 4,530.95

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Solution

The fourth proportional to 10,077.59, 15,116.72 and 4,530.95 is: 6,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.59 : 15,116.72 = 4,530.95 : x
  2. Step 2: Convert to fraction form
    10,077.59/15,116.72 = 4,530.95/x
  3. Step 3: Cross multiply
    10,077.59x = 15,116.72 × 4,530.95
  4. Step 4: Simplify right side
    10,077.59x = 68,493,004.25
  5. Step 5: Solve for x
    x = 68,493,004.25/10,077.59
  6. Step 6: Final answer
    x = 6,796.57

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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.