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Finding the Fourth Proportional to 10,303.92, 14,219.49 and 5,588.20

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Solution

The fourth proportional to 10,303.92, 14,219.49 and 5,588.20 is: 7,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.92 : 14,219.49 = 5,588.20 : x
  2. Step 2: Convert to fraction form
    10,303.92/14,219.49 = 5,588.20/x
  3. Step 3: Cross multiply
    10,303.92x = 14,219.49 × 5,588.20
  4. Step 4: Simplify right side
    10,303.92x = 79,461,354.02
  5. Step 5: Solve for x
    x = 79,461,354.02/10,303.92
  6. Step 6: Final answer
    x = 7,711.76

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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.