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Finding the Fourth Proportional to 7,688.39, 11,532.59 and 5,501.39

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Solution

The fourth proportional to 7,688.39, 11,532.59 and 5,501.39 is: 8,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.39 : 11,532.59 = 5,501.39 : x
  2. Step 2: Convert to fraction form
    7,688.39/11,532.59 = 5,501.39/x
  3. Step 3: Cross multiply
    7,688.39x = 11,532.59 × 5,501.39
  4. Step 4: Simplify right side
    7,688.39x = 63,445,317.89
  5. Step 5: Solve for x
    x = 63,445,317.89/7,688.39
  6. Step 6: Final answer
    x = 8,252.09

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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.