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Finding the Fourth Proportional to 10,303.93, 14,221.20 and 5,829.07

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Solution

The fourth proportional to 10,303.93, 14,221.20 and 5,829.07 is: 8,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.93 : 14,221.20 = 5,829.07 : x
  2. Step 2: Convert to fraction form
    10,303.93/14,221.20 = 5,829.07/x
  3. Step 3: Cross multiply
    10,303.93x = 14,221.20 × 5,829.07
  4. Step 4: Simplify right side
    10,303.93x = 82,896,370.28
  5. Step 5: Solve for x
    x = 82,896,370.28/10,303.93
  6. Step 6: Final answer
    x = 8,045.12

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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.