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Finding the Fourth Proportional to 10,813.06, 16,219.59 and 4,657.06

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Solution

The fourth proportional to 10,813.06, 16,219.59 and 4,657.06 is: 6,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.06 : 16,219.59 = 4,657.06 : x
  2. Step 2: Convert to fraction form
    10,813.06/16,219.59 = 4,657.06/x
  3. Step 3: Cross multiply
    10,813.06x = 16,219.59 × 4,657.06
  4. Step 4: Simplify right side
    10,813.06x = 75,535,603.81
  5. Step 5: Solve for x
    x = 75,535,603.81/10,813.06
  6. Step 6: Final answer
    x = 6,985.59

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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.