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Finding the Fourth Proportional to 10,068.47, 15,100.65 and 3,826.30

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Solution

The fourth proportional to 10,068.47, 15,100.65 and 3,826.30 is: 5,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.47 : 15,100.65 = 3,826.30 : x
  2. Step 2: Convert to fraction form
    10,068.47/15,100.65 = 3,826.30/x
  3. Step 3: Cross multiply
    10,068.47x = 15,100.65 × 3,826.30
  4. Step 4: Simplify right side
    10,068.47x = 57,779,579.34
  5. Step 5: Solve for x
    x = 57,779,579.34/10,068.47
  6. Step 6: Final answer
    x = 5,738.66

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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.