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Finding the Fourth Proportional to 10,762.71, 14,859.78 and 9,624.84

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Solution

The fourth proportional to 10,762.71, 14,859.78 and 9,624.84 is: 13,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.71 : 14,859.78 = 9,624.84 : x
  2. Step 2: Convert to fraction form
    10,762.71/14,859.78 = 9,624.84/x
  3. Step 3: Cross multiply
    10,762.71x = 14,859.78 × 9,624.84
  4. Step 4: Simplify right side
    10,762.71x = 143,022,968.84
  5. Step 5: Solve for x
    x = 143,022,968.84/10,762.71
  6. Step 6: Final answer
    x = 13,288.75

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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.