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Finding the Fourth Proportional to 6,257.04, 8,646.14 and 5,953.40

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Solution

The fourth proportional to 6,257.04, 8,646.14 and 5,953.40 is: 8,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.04 : 8,646.14 = 5,953.40 : x
  2. Step 2: Convert to fraction form
    6,257.04/8,646.14 = 5,953.40/x
  3. Step 3: Cross multiply
    6,257.04x = 8,646.14 × 5,953.40
  4. Step 4: Simplify right side
    6,257.04x = 51,473,929.88
  5. Step 5: Solve for x
    x = 51,473,929.88/6,257.04
  6. Step 6: Final answer
    x = 8,226.56

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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.