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Finding the Fourth Proportional to 7,688.22, 10,609.95 and 4,704

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Solution

The fourth proportional to 7,688.22, 10,609.95 and 4,704 is: 6,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.22 : 10,609.95 = 4,704 : x
  2. Step 2: Convert to fraction form
    7,688.22/10,609.95 = 4,704/x
  3. Step 3: Cross multiply
    7,688.22x = 10,609.95 × 4,704
  4. Step 4: Simplify right side
    7,688.22x = 49,909,204.80
  5. Step 5: Solve for x
    x = 49,909,204.80/7,688.22
  6. Step 6: Final answer
    x = 6,491.65

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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.