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Finding the Fourth Proportional to 10,307.80, 15,447.30 and 7,654.60

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Solution

The fourth proportional to 10,307.80, 15,447.30 and 7,654.60 is: 11,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.80 : 15,447.30 = 7,654.60 : x
  2. Step 2: Convert to fraction form
    10,307.80/15,447.30 = 7,654.60/x
  3. Step 3: Cross multiply
    10,307.80x = 15,447.30 × 7,654.60
  4. Step 4: Simplify right side
    10,307.80x = 118,242,902.58
  5. Step 5: Solve for x
    x = 118,242,902.58/10,307.80
  6. Step 6: Final answer
    x = 11,471.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.