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Finding the Fourth Proportional to 10,109.68, 15,165.96 and 4,912

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Solution

The fourth proportional to 10,109.68, 15,165.96 and 4,912 is: 7,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.68 : 15,165.96 = 4,912 : x
  2. Step 2: Convert to fraction form
    10,109.68/15,165.96 = 4,912/x
  3. Step 3: Cross multiply
    10,109.68x = 15,165.96 × 4,912
  4. Step 4: Simplify right side
    10,109.68x = 74,495,195.52
  5. Step 5: Solve for x
    x = 74,495,195.52/10,109.68
  6. Step 6: Final answer
    x = 7,368.70

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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.