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Finding the Fourth Proportional to 7,657.17, 10,566.50 and 4,300.12

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Solution

The fourth proportional to 7,657.17, 10,566.50 and 4,300.12 is: 5,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.17 : 10,566.50 = 4,300.12 : x
  2. Step 2: Convert to fraction form
    7,657.17/10,566.50 = 4,300.12/x
  3. Step 3: Cross multiply
    7,657.17x = 10,566.50 × 4,300.12
  4. Step 4: Simplify right side
    7,657.17x = 45,437,233.88
  5. Step 5: Solve for x
    x = 45,437,233.88/7,657.17
  6. Step 6: Final answer
    x = 5,933.95

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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.