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Finding the Fourth Proportional to 6,298.46, 8,687.44 and 5,347.71

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Solution

The fourth proportional to 6,298.46, 8,687.44 and 5,347.71 is: 7,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.46 : 8,687.44 = 5,347.71 : x
  2. Step 2: Convert to fraction form
    6,298.46/8,687.44 = 5,347.71/x
  3. Step 3: Cross multiply
    6,298.46x = 8,687.44 × 5,347.71
  4. Step 4: Simplify right side
    6,298.46x = 46,457,909.76
  5. Step 5: Solve for x
    x = 46,457,909.76/6,298.46
  6. Step 6: Final answer
    x = 7,376.07

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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.