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Finding the Fourth Proportional to 10,501.79, 14,492.18 and 5,786.03

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Solution

The fourth proportional to 10,501.79, 14,492.18 and 5,786.03 is: 7,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.79 : 14,492.18 = 5,786.03 : x
  2. Step 2: Convert to fraction form
    10,501.79/14,492.18 = 5,786.03/x
  3. Step 3: Cross multiply
    10,501.79x = 14,492.18 × 5,786.03
  4. Step 4: Simplify right side
    10,501.79x = 83,852,238.94
  5. Step 5: Solve for x
    x = 83,852,238.94/10,501.79
  6. Step 6: Final answer
    x = 7,984.57

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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.