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Finding the Fourth Proportional to 10,480.00, 14,458.87 and 7,116.98

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Solution

The fourth proportional to 10,480.00, 14,458.87 and 7,116.98 is: 9,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.00 : 14,458.87 = 7,116.98 : x
  2. Step 2: Convert to fraction form
    10,480.00/14,458.87 = 7,116.98/x
  3. Step 3: Cross multiply
    10,480.00x = 14,458.87 × 7,116.98
  4. Step 4: Simplify right side
    10,480.00x = 102,903,506.55
  5. Step 5: Solve for x
    x = 102,903,506.55/10,480.00
  6. Step 6: Final answer
    x = 9,819.04

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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.