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Finding the Fourth Proportional to 10,585.40, 14,607.96 and 5,869.76

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Solution

The fourth proportional to 10,585.40, 14,607.96 and 5,869.76 is: 8,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.40 : 14,607.96 = 5,869.76 : x
  2. Step 2: Convert to fraction form
    10,585.40/14,607.96 = 5,869.76/x
  3. Step 3: Cross multiply
    10,585.40x = 14,607.96 × 5,869.76
  4. Step 4: Simplify right side
    10,585.40x = 85,745,219.29
  5. Step 5: Solve for x
    x = 85,745,219.29/10,585.40
  6. Step 6: Final answer
    x = 8,100.33

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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.