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Finding the Fourth Proportional to 10,572.96, 14,590.80 and 5,857.32

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Solution

The fourth proportional to 10,572.96, 14,590.80 and 5,857.32 is: 8,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.96 : 14,590.80 = 5,857.32 : x
  2. Step 2: Convert to fraction form
    10,572.96/14,590.80 = 5,857.32/x
  3. Step 3: Cross multiply
    10,572.96x = 14,590.80 × 5,857.32
  4. Step 4: Simplify right side
    10,572.96x = 85,462,984.66
  5. Step 5: Solve for x
    x = 85,462,984.66/10,572.96
  6. Step 6: Final answer
    x = 8,083.17

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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.