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Finding the Fourth Proportional to 10,508.29, 14,496.84 and 7,523.04

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Solution

The fourth proportional to 10,508.29, 14,496.84 and 7,523.04 is: 10,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.29 : 14,496.84 = 7,523.04 : x
  2. Step 2: Convert to fraction form
    10,508.29/14,496.84 = 7,523.04/x
  3. Step 3: Cross multiply
    10,508.29x = 14,496.84 × 7,523.04
  4. Step 4: Simplify right side
    10,508.29x = 109,060,307.19
  5. Step 5: Solve for x
    x = 109,060,307.19/10,508.29
  6. Step 6: Final answer
    x = 10,378.50

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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.