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Finding the Fourth Proportional to 10,819.16, 14,930.64 and 6,346.32

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Solution

The fourth proportional to 10,819.16, 14,930.64 and 6,346.32 is: 8,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.16 : 14,930.64 = 6,346.32 : x
  2. Step 2: Convert to fraction form
    10,819.16/14,930.64 = 6,346.32/x
  3. Step 3: Cross multiply
    10,819.16x = 14,930.64 × 6,346.32
  4. Step 4: Simplify right side
    10,819.16x = 94,754,619.24
  5. Step 5: Solve for x
    x = 94,754,619.24/10,819.16
  6. Step 6: Final answer
    x = 8,758.04

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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.