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Finding the Fourth Proportional to 10,646.69, 15,955.88 and 5,648.03

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Solution

The fourth proportional to 10,646.69, 15,955.88 and 5,648.03 is: 8,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.69 : 15,955.88 = 5,648.03 : x
  2. Step 2: Convert to fraction form
    10,646.69/15,955.88 = 5,648.03/x
  3. Step 3: Cross multiply
    10,646.69x = 15,955.88 × 5,648.03
  4. Step 4: Simplify right side
    10,646.69x = 90,119,288.92
  5. Step 5: Solve for x
    x = 90,119,288.92/10,646.69
  6. Step 6: Final answer
    x = 8,464.54

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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.