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Finding the Fourth Proportional to 11,615.23, 16,030.46 and 6,899.53

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Solution

The fourth proportional to 11,615.23, 16,030.46 and 6,899.53 is: 9,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.23 : 16,030.46 = 6,899.53 : x
  2. Step 2: Convert to fraction form
    11,615.23/16,030.46 = 6,899.53/x
  3. Step 3: Cross multiply
    11,615.23x = 16,030.46 × 6,899.53
  4. Step 4: Simplify right side
    11,615.23x = 110,602,639.68
  5. Step 5: Solve for x
    x = 110,602,639.68/11,615.23
  6. Step 6: Final answer
    x = 9,522.21

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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.