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Finding the Fourth Proportional to 8,533.69, 12,802.42 and 3,607.54

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Solution

The fourth proportional to 8,533.69, 12,802.42 and 3,607.54 is: 5,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.69 : 12,802.42 = 3,607.54 : x
  2. Step 2: Convert to fraction form
    8,533.69/12,802.42 = 3,607.54/x
  3. Step 3: Cross multiply
    8,533.69x = 12,802.42 × 3,607.54
  4. Step 4: Simplify right side
    8,533.69x = 46,185,214.75
  5. Step 5: Solve for x
    x = 46,185,214.75/8,533.69
  6. Step 6: Final answer
    x = 5,412.11

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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.