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Finding the Fourth Proportional to 10,652.10, 15,980.91 and 5,109.72

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Solution

The fourth proportional to 10,652.10, 15,980.91 and 5,109.72 is: 7,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.10 : 15,980.91 = 5,109.72 : x
  2. Step 2: Convert to fraction form
    10,652.10/15,980.91 = 5,109.72/x
  3. Step 3: Cross multiply
    10,652.10x = 15,980.91 × 5,109.72
  4. Step 4: Simplify right side
    10,652.10x = 81,657,975.45
  5. Step 5: Solve for x
    x = 81,657,975.45/10,652.10
  6. Step 6: Final answer
    x = 7,665.90

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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.