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Finding the Fourth Proportional to 6,588.12, 9,076.14 and 5,415.96

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Solution

The fourth proportional to 6,588.12, 9,076.14 and 5,415.96 is: 7,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.12 : 9,076.14 = 5,415.96 : x
  2. Step 2: Convert to fraction form
    6,588.12/9,076.14 = 5,415.96/x
  3. Step 3: Cross multiply
    6,588.12x = 9,076.14 × 5,415.96
  4. Step 4: Simplify right side
    6,588.12x = 49,156,011.19
  5. Step 5: Solve for x
    x = 49,156,011.19/6,588.12
  6. Step 6: Final answer
    x = 7,461.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.