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Finding the Fourth Proportional to 11,675.90, 16,114.10 and 6,502.30

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Solution

The fourth proportional to 11,675.90, 16,114.10 and 6,502.30 is: 8,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.90 : 16,114.10 = 6,502.30 : x
  2. Step 2: Convert to fraction form
    11,675.90/16,114.10 = 6,502.30/x
  3. Step 3: Cross multiply
    11,675.90x = 16,114.10 × 6,502.30
  4. Step 4: Simplify right side
    11,675.90x = 104,778,639.63
  5. Step 5: Solve for x
    x = 104,778,639.63/11,675.90
  6. Step 6: Final answer
    x = 8,973.92

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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.