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Finding the Fourth Proportional to 10,502.04, 14,493.14 and 5,722.12

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Solution

The fourth proportional to 10,502.04, 14,493.14 and 5,722.12 is: 7,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.04 : 14,493.14 = 5,722.12 : x
  2. Step 2: Convert to fraction form
    10,502.04/14,493.14 = 5,722.12/x
  3. Step 3: Cross multiply
    10,502.04x = 14,493.14 × 5,722.12
  4. Step 4: Simplify right side
    10,502.04x = 82,931,486.26
  5. Step 5: Solve for x
    x = 82,931,486.26/10,502.04
  6. Step 6: Final answer
    x = 7,896.70

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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.