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Finding the Fourth Proportional to 10,572.19, 14,590.06 and 5,856.50

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Solution

The fourth proportional to 10,572.19, 14,590.06 and 5,856.50 is: 8,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.19 : 14,590.06 = 5,856.50 : x
  2. Step 2: Convert to fraction form
    10,572.19/14,590.06 = 5,856.50/x
  3. Step 3: Cross multiply
    10,572.19x = 14,590.06 × 5,856.50
  4. Step 4: Simplify right side
    10,572.19x = 85,446,708.22
  5. Step 5: Solve for x
    x = 85,446,708.22/10,572.19
  6. Step 6: Final answer
    x = 8,082.22

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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.