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Finding the Fourth Proportional to 8,538.90, 12,816.45 and 7,307.70

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Solution

The fourth proportional to 8,538.90, 12,816.45 and 7,307.70 is: 10,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.90 : 12,816.45 = 7,307.70 : x
  2. Step 2: Convert to fraction form
    8,538.90/12,816.45 = 7,307.70/x
  3. Step 3: Cross multiply
    8,538.90x = 12,816.45 × 7,307.70
  4. Step 4: Simplify right side
    8,538.90x = 93,658,771.67
  5. Step 5: Solve for x
    x = 93,658,771.67/8,538.90
  6. Step 6: Final answer
    x = 10,968.48

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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.