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Finding the Fourth Proportional to 11,807.50, 16,294.35 and 6,502.30

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Solution

The fourth proportional to 11,807.50, 16,294.35 and 6,502.30 is: 8,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.50 : 16,294.35 = 6,502.30 : x
  2. Step 2: Convert to fraction form
    11,807.50/16,294.35 = 6,502.30/x
  3. Step 3: Cross multiply
    11,807.50x = 16,294.35 × 6,502.30
  4. Step 4: Simplify right side
    11,807.50x = 105,950,752.01
  5. Step 5: Solve for x
    x = 105,950,752.01/11,807.50
  6. Step 6: Final answer
    x = 8,973.17

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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.