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Finding the Fourth Proportional to 10,514.32, 14,522.68 and 7,873.52

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Solution

The fourth proportional to 10,514.32, 14,522.68 and 7,873.52 is: 10,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.32 : 14,522.68 = 7,873.52 : x
  2. Step 2: Convert to fraction form
    10,514.32/14,522.68 = 7,873.52/x
  3. Step 3: Cross multiply
    10,514.32x = 14,522.68 × 7,873.52
  4. Step 4: Simplify right side
    10,514.32x = 114,344,611.43
  5. Step 5: Solve for x
    x = 114,344,611.43/10,514.32
  6. Step 6: Final answer
    x = 10,875.13

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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.