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Finding the Fourth Proportional to 10,572.62, 14,590.04 and 6,096.02

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Solution

The fourth proportional to 10,572.62, 14,590.04 and 6,096.02 is: 8,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.62 : 14,590.04 = 6,096.02 : x
  2. Step 2: Convert to fraction form
    10,572.62/14,590.04 = 6,096.02/x
  3. Step 3: Cross multiply
    10,572.62x = 14,590.04 × 6,096.02
  4. Step 4: Simplify right side
    10,572.62x = 88,941,175.64
  5. Step 5: Solve for x
    x = 88,941,175.64/10,572.62
  6. Step 6: Final answer
    x = 8,412.41

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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.