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Finding the Fourth Proportional to 10,502.04, 14,492.55 and 5,965.56

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Solution

The fourth proportional to 10,502.04, 14,492.55 and 5,965.56 is: 8,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.04 : 14,492.55 = 5,965.56 : x
  2. Step 2: Convert to fraction form
    10,502.04/14,492.55 = 5,965.56/x
  3. Step 3: Cross multiply
    10,502.04x = 14,492.55 × 5,965.56
  4. Step 4: Simplify right side
    10,502.04x = 86,456,176.58
  5. Step 5: Solve for x
    x = 86,456,176.58/10,502.04
  6. Step 6: Final answer
    x = 8,232.32

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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.