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Finding the Fourth Proportional to 10,502.67, 14,492.97 and 5,786.94

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Solution

The fourth proportional to 10,502.67, 14,492.97 and 5,786.94 is: 7,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.67 : 14,492.97 = 5,786.94 : x
  2. Step 2: Convert to fraction form
    10,502.67/14,492.97 = 5,786.94/x
  3. Step 3: Cross multiply
    10,502.67x = 14,492.97 × 5,786.94
  4. Step 4: Simplify right side
    10,502.67x = 83,869,947.81
  5. Step 5: Solve for x
    x = 83,869,947.81/10,502.67
  6. Step 6: Final answer
    x = 7,985.58

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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.