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Finding the Fourth Proportional to 10,482.09, 14,458.95 and 6,449.60

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Solution

The fourth proportional to 10,482.09, 14,458.95 and 6,449.60 is: 8,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.09 : 14,458.95 = 6,449.60 : x
  2. Step 2: Convert to fraction form
    10,482.09/14,458.95 = 6,449.60/x
  3. Step 3: Cross multiply
    10,482.09x = 14,458.95 × 6,449.60
  4. Step 4: Simplify right side
    10,482.09x = 93,254,371.63
  5. Step 5: Solve for x
    x = 93,254,371.63/10,482.09
  6. Step 6: Final answer
    x = 8,896.54

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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.