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Finding the Fourth Proportional to 10,504.64, 14,495.88 and 6,778.64

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Solution

The fourth proportional to 10,504.64, 14,495.88 and 6,778.64 is: 9,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.64 : 14,495.88 = 6,778.64 : x
  2. Step 2: Convert to fraction form
    10,504.64/14,495.88 = 6,778.64/x
  3. Step 3: Cross multiply
    10,504.64x = 14,495.88 × 6,778.64
  4. Step 4: Simplify right side
    10,504.64x = 98,262,352.00
  5. Step 5: Solve for x
    x = 98,262,352.00/10,504.64
  6. Step 6: Final answer
    x = 9,354.19

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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.