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Finding the Fourth Proportional to 10,572.35, 14,590.06 and 5,856.64

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Solution

The fourth proportional to 10,572.35, 14,590.06 and 5,856.64 is: 8,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.35 : 14,590.06 = 5,856.64 : x
  2. Step 2: Convert to fraction form
    10,572.35/14,590.06 = 5,856.64/x
  3. Step 3: Cross multiply
    10,572.35x = 14,590.06 × 5,856.64
  4. Step 4: Simplify right side
    10,572.35x = 85,448,677.88
  5. Step 5: Solve for x
    x = 85,448,677.88/10,572.35
  6. Step 6: Final answer
    x = 8,082.28

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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.