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Finding the Fourth Proportional to 11,353.94, 15,669.14 and 6,319.28

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Solution

The fourth proportional to 11,353.94, 15,669.14 and 6,319.28 is: 8,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.94 : 15,669.14 = 6,319.28 : x
  2. Step 2: Convert to fraction form
    11,353.94/15,669.14 = 6,319.28/x
  3. Step 3: Cross multiply
    11,353.94x = 15,669.14 × 6,319.28
  4. Step 4: Simplify right side
    11,353.94x = 99,017,683.02
  5. Step 5: Solve for x
    x = 99,017,683.02/11,353.94
  6. Step 6: Final answer
    x = 8,721.00

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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.