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Finding the Fourth Proportional to 11,875.30, 16,387.68 and 6,570.34

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Solution

The fourth proportional to 11,875.30, 16,387.68 and 6,570.34 is: 9,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.30 : 16,387.68 = 6,570.34 : x
  2. Step 2: Convert to fraction form
    11,875.30/16,387.68 = 6,570.34/x
  3. Step 3: Cross multiply
    11,875.30x = 16,387.68 × 6,570.34
  4. Step 4: Simplify right side
    11,875.30x = 107,672,629.41
  5. Step 5: Solve for x
    x = 107,672,629.41/11,875.30
  6. Step 6: Final answer
    x = 9,066.94

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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.