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Finding the Fourth Proportional to 11,307.60, 15,604.47 and 6,830.48

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Solution

The fourth proportional to 11,307.60, 15,604.47 and 6,830.48 is: 9,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.60 : 15,604.47 = 6,830.48 : x
  2. Step 2: Convert to fraction form
    11,307.60/15,604.47 = 6,830.48/x
  3. Step 3: Cross multiply
    11,307.60x = 15,604.47 × 6,830.48
  4. Step 4: Simplify right side
    11,307.60x = 106,585,942.22
  5. Step 5: Solve for x
    x = 106,585,942.22/11,307.60
  6. Step 6: Final answer
    x = 9,426.04

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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.