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Finding the Fourth Proportional to 10,430.85, 14,395.19 and 5,956.01

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Solution

The fourth proportional to 10,430.85, 14,395.19 and 5,956.01 is: 8,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.85 : 14,395.19 = 5,956.01 : x
  2. Step 2: Convert to fraction form
    10,430.85/14,395.19 = 5,956.01/x
  3. Step 3: Cross multiply
    10,430.85x = 14,395.19 × 5,956.01
  4. Step 4: Simplify right side
    10,430.85x = 85,737,859.60
  5. Step 5: Solve for x
    x = 85,737,859.60/10,430.85
  6. Step 6: Final answer
    x = 8,219.64

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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.