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Finding the Fourth Proportional to 10,755.84, 14,842.56 and 6,564.48

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Solution

The fourth proportional to 10,755.84, 14,842.56 and 6,564.48 is: 9,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.84 : 14,842.56 = 6,564.48 : x
  2. Step 2: Convert to fraction form
    10,755.84/14,842.56 = 6,564.48/x
  3. Step 3: Cross multiply
    10,755.84x = 14,842.56 × 6,564.48
  4. Step 4: Simplify right side
    10,755.84x = 97,433,688.27
  5. Step 5: Solve for x
    x = 97,433,688.27/10,755.84
  6. Step 6: Final answer
    x = 9,058.68

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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.