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Finding the Fourth Proportional to 10,454.45, 15,689.72 and 6,074.99

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Solution

The fourth proportional to 10,454.45, 15,689.72 and 6,074.99 is: 9,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.45 : 15,689.72 = 6,074.99 : x
  2. Step 2: Convert to fraction form
    10,454.45/15,689.72 = 6,074.99/x
  3. Step 3: Cross multiply
    10,454.45x = 15,689.72 × 6,074.99
  4. Step 4: Simplify right side
    10,454.45x = 95,314,828.84
  5. Step 5: Solve for x
    x = 95,314,828.84/10,454.45
  6. Step 6: Final answer
    x = 9,117.15

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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.