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Finding the Fourth Proportional to 10,574.96, 14,592.84 and 5,859.14

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Solution

The fourth proportional to 10,574.96, 14,592.84 and 5,859.14 is: 8,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.96 : 14,592.84 = 5,859.14 : x
  2. Step 2: Convert to fraction form
    10,574.96/14,592.84 = 5,859.14/x
  3. Step 3: Cross multiply
    10,574.96x = 14,592.84 × 5,859.14
  4. Step 4: Simplify right side
    10,574.96x = 85,501,492.56
  5. Step 5: Solve for x
    x = 85,501,492.56/10,574.96
  6. Step 6: Final answer
    x = 8,085.28

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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.