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Finding the Fourth Proportional to 10,501.93, 14,492.63 and 5,722.13

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Solution

The fourth proportional to 10,501.93, 14,492.63 and 5,722.13 is: 7,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.93 : 14,492.63 = 5,722.13 : x
  2. Step 2: Convert to fraction form
    10,501.93/14,492.63 = 5,722.13/x
  3. Step 3: Cross multiply
    10,501.93x = 14,492.63 × 5,722.13
  4. Step 4: Simplify right side
    10,501.93x = 82,928,720.52
  5. Step 5: Solve for x
    x = 82,928,720.52/10,501.93
  6. Step 6: Final answer
    x = 7,896.52

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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.