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Finding the Fourth Proportional to 6,875.76, 9,485.40 and 4,080.24

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Solution

The fourth proportional to 6,875.76, 9,485.40 and 4,080.24 is: 5,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.76 : 9,485.40 = 4,080.24 : x
  2. Step 2: Convert to fraction form
    6,875.76/9,485.40 = 4,080.24/x
  3. Step 3: Cross multiply
    6,875.76x = 9,485.40 × 4,080.24
  4. Step 4: Simplify right side
    6,875.76x = 38,702,708.50
  5. Step 5: Solve for x
    x = 38,702,708.50/6,875.76
  6. Step 6: Final answer
    x = 5,628.86

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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.