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Finding the Fourth Proportional to 8,283.24, 11,421.54 and 6,041.16

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Solution

The fourth proportional to 8,283.24, 11,421.54 and 6,041.16 is: 8,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.24 : 11,421.54 = 6,041.16 : x
  2. Step 2: Convert to fraction form
    8,283.24/11,421.54 = 6,041.16/x
  3. Step 3: Cross multiply
    8,283.24x = 11,421.54 × 6,041.16
  4. Step 4: Simplify right side
    8,283.24x = 68,999,350.59
  5. Step 5: Solve for x
    x = 68,999,350.59/8,283.24
  6. Step 6: Final answer
    x = 8,330.00

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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.