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Finding the Fourth Proportional to 11,807.28, 16,294.14 and 6,502.14

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Solution

The fourth proportional to 11,807.28, 16,294.14 and 6,502.14 is: 8,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.28 : 16,294.14 = 6,502.14 : x
  2. Step 2: Convert to fraction form
    11,807.28/16,294.14 = 6,502.14/x
  3. Step 3: Cross multiply
    11,807.28x = 16,294.14 × 6,502.14
  4. Step 4: Simplify right side
    11,807.28x = 105,946,779.46
  5. Step 5: Solve for x
    x = 105,946,779.46/11,807.28
  6. Step 6: Final answer
    x = 8,973.00

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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.