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Finding the Fourth Proportional to 8,347.16, 11,495.84 and 6,451.76

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Solution

The fourth proportional to 8,347.16, 11,495.84 and 6,451.76 is: 8,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.16 : 11,495.84 = 6,451.76 : x
  2. Step 2: Convert to fraction form
    8,347.16/11,495.84 = 6,451.76/x
  3. Step 3: Cross multiply
    8,347.16x = 11,495.84 × 6,451.76
  4. Step 4: Simplify right side
    8,347.16x = 74,168,400.68
  5. Step 5: Solve for x
    x = 74,168,400.68/8,347.16
  6. Step 6: Final answer
    x = 8,885.47

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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.