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Finding the Fourth Proportional to 11,429.46, 15,775.74 and 6,716.88

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Solution

The fourth proportional to 11,429.46, 15,775.74 and 6,716.88 is: 9,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.46 : 15,775.74 = 6,716.88 : x
  2. Step 2: Convert to fraction form
    11,429.46/15,775.74 = 6,716.88/x
  3. Step 3: Cross multiply
    11,429.46x = 15,775.74 × 6,716.88
  4. Step 4: Simplify right side
    11,429.46x = 105,963,752.49
  5. Step 5: Solve for x
    x = 105,963,752.49/11,429.46
  6. Step 6: Final answer
    x = 9,271.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.