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Finding the Fourth Proportional to 11,617.40, 16,032.16 and 6,312.31

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Solution

The fourth proportional to 11,617.40, 16,032.16 and 6,312.31 is: 8,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.40 : 16,032.16 = 6,312.31 : x
  2. Step 2: Convert to fraction form
    11,617.40/16,032.16 = 6,312.31/x
  3. Step 3: Cross multiply
    11,617.40x = 16,032.16 × 6,312.31
  4. Step 4: Simplify right side
    11,617.40x = 101,199,931.70
  5. Step 5: Solve for x
    x = 101,199,931.70/11,617.40
  6. Step 6: Final answer
    x = 8,711.06

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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.