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Finding the Fourth Proportional to 10,352.87, 15,530.76 and 4,113.51

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Solution

The fourth proportional to 10,352.87, 15,530.76 and 4,113.51 is: 6,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.87 : 15,530.76 = 4,113.51 : x
  2. Step 2: Convert to fraction form
    10,352.87/15,530.76 = 4,113.51/x
  3. Step 3: Cross multiply
    10,352.87x = 15,530.76 × 4,113.51
  4. Step 4: Simplify right side
    10,352.87x = 63,885,936.57
  5. Step 5: Solve for x
    x = 63,885,936.57/10,352.87
  6. Step 6: Final answer
    x = 6,170.85

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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.