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Finding the Fourth Proportional to 6,111.70, 9,159.45 and 5,415.10

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Solution

The fourth proportional to 6,111.70, 9,159.45 and 5,415.10 is: 8,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.70 : 9,159.45 = 5,415.10 : x
  2. Step 2: Convert to fraction form
    6,111.70/9,159.45 = 5,415.10/x
  3. Step 3: Cross multiply
    6,111.70x = 9,159.45 × 5,415.10
  4. Step 4: Simplify right side
    6,111.70x = 49,599,337.70
  5. Step 5: Solve for x
    x = 49,599,337.70/6,111.70
  6. Step 6: Final answer
    x = 8,115.47

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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.