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Finding the Fourth Proportional to 10,572.54, 14,590.06 and 6,096.26

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Solution

The fourth proportional to 10,572.54, 14,590.06 and 6,096.26 is: 8,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.54 : 14,590.06 = 6,096.26 : x
  2. Step 2: Convert to fraction form
    10,572.54/14,590.06 = 6,096.26/x
  3. Step 3: Cross multiply
    10,572.54x = 14,590.06 × 6,096.26
  4. Step 4: Simplify right side
    10,572.54x = 88,944,799.18
  5. Step 5: Solve for x
    x = 88,944,799.18/10,572.54
  6. Step 6: Final answer
    x = 8,412.81

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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.