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Finding the Fourth Proportional to 6,710.86, 9,259.59 and 4,057.75

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Solution

The fourth proportional to 6,710.86, 9,259.59 and 4,057.75 is: 5,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.86 : 9,259.59 = 4,057.75 : x
  2. Step 2: Convert to fraction form
    6,710.86/9,259.59 = 4,057.75/x
  3. Step 3: Cross multiply
    6,710.86x = 9,259.59 × 4,057.75
  4. Step 4: Simplify right side
    6,710.86x = 37,573,101.32
  5. Step 5: Solve for x
    x = 37,573,101.32/6,710.86
  6. Step 6: Final answer
    x = 5,598.85

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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.