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Finding the Fourth Proportional to 10,925.84, 16,388.78 and 4,681.80

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Solution

The fourth proportional to 10,925.84, 16,388.78 and 4,681.80 is: 7,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.84 : 16,388.78 = 4,681.80 : x
  2. Step 2: Convert to fraction form
    10,925.84/16,388.78 = 4,681.80/x
  3. Step 3: Cross multiply
    10,925.84x = 16,388.78 × 4,681.80
  4. Step 4: Simplify right side
    10,925.84x = 76,729,045.81
  5. Step 5: Solve for x
    x = 76,729,045.81/10,925.84
  6. Step 6: Final answer
    x = 7,022.71

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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.