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Finding the Fourth Proportional to 10,113.59, 15,173.99 and 5,185.55

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Solution

The fourth proportional to 10,113.59, 15,173.99 and 5,185.55 is: 7,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.59 : 15,173.99 = 5,185.55 : x
  2. Step 2: Convert to fraction form
    10,113.59/15,173.99 = 5,185.55/x
  3. Step 3: Cross multiply
    10,113.59x = 15,173.99 × 5,185.55
  4. Step 4: Simplify right side
    10,113.59x = 78,685,483.84
  5. Step 5: Solve for x
    x = 78,685,483.84/10,113.59
  6. Step 6: Final answer
    x = 7,780.17

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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.