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Finding the Fourth Proportional to 10,572.96, 14,590.20 and 5,792.88

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Solution

The fourth proportional to 10,572.96, 14,590.20 and 5,792.88 is: 7,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.96 : 14,590.20 = 5,792.88 : x
  2. Step 2: Convert to fraction form
    10,572.96/14,590.20 = 5,792.88/x
  3. Step 3: Cross multiply
    10,572.96x = 14,590.20 × 5,792.88
  4. Step 4: Simplify right side
    10,572.96x = 84,519,277.78
  5. Step 5: Solve for x
    x = 84,519,277.78/10,572.96
  6. Step 6: Final answer
    x = 7,993.91

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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.