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Finding the Fourth Proportional to 10,586, 14,608.72 and 5,870.96

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Solution

The fourth proportional to 10,586, 14,608.72 and 5,870.96 is: 8,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586 : 14,608.72 = 5,870.96 : x
  2. Step 2: Convert to fraction form
    10,586/14,608.72 = 5,870.96/x
  3. Step 3: Cross multiply
    10,586x = 14,608.72 × 5,870.96
  4. Step 4: Simplify right side
    10,586x = 85,767,210.77
  5. Step 5: Solve for x
    x = 85,767,210.77/10,586
  6. Step 6: Final answer
    x = 8,101.95

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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.