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Finding the Fourth Proportional to 10,111, 15,162.06 and 5,110.30

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Solution

The fourth proportional to 10,111, 15,162.06 and 5,110.30 is: 7,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111 : 15,162.06 = 5,110.30 : x
  2. Step 2: Convert to fraction form
    10,111/15,162.06 = 5,110.30/x
  3. Step 3: Cross multiply
    10,111x = 15,162.06 × 5,110.30
  4. Step 4: Simplify right side
    10,111x = 77,482,675.22
  5. Step 5: Solve for x
    x = 77,482,675.22/10,111
  6. Step 6: Final answer
    x = 7,663.21

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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.