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Finding the Fourth Proportional to 10,337.76, 14,265.63 and 5,861.40

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Solution

The fourth proportional to 10,337.76, 14,265.63 and 5,861.40 is: 8,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.76 : 14,265.63 = 5,861.40 : x
  2. Step 2: Convert to fraction form
    10,337.76/14,265.63 = 5,861.40/x
  3. Step 3: Cross multiply
    10,337.76x = 14,265.63 × 5,861.40
  4. Step 4: Simplify right side
    10,337.76x = 83,616,563.68
  5. Step 5: Solve for x
    x = 83,616,563.68/10,337.76
  6. Step 6: Final answer
    x = 8,088.46

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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.