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Finding the Fourth Proportional to 10,045.83, 15,091.83 and 7,091.09

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Solution

The fourth proportional to 10,045.83, 15,091.83 and 7,091.09 is: 10,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.83 : 15,091.83 = 7,091.09 : x
  2. Step 2: Convert to fraction form
    10,045.83/15,091.83 = 7,091.09/x
  3. Step 3: Cross multiply
    10,045.83x = 15,091.83 × 7,091.09
  4. Step 4: Simplify right side
    10,045.83x = 107,017,449.34
  5. Step 5: Solve for x
    x = 107,017,449.34/10,045.83
  6. Step 6: Final answer
    x = 10,652.92

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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.