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Finding the Fourth Proportional to 10,068.14, 15,107.65 and 5,916.26

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Solution

The fourth proportional to 10,068.14, 15,107.65 and 5,916.26 is: 8,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.14 : 15,107.65 = 5,916.26 : x
  2. Step 2: Convert to fraction form
    10,068.14/15,107.65 = 5,916.26/x
  3. Step 3: Cross multiply
    10,068.14x = 15,107.65 × 5,916.26
  4. Step 4: Simplify right side
    10,068.14x = 89,380,808.37
  5. Step 5: Solve for x
    x = 89,380,808.37/10,068.14
  6. Step 6: Final answer
    x = 8,877.59

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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.