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Finding the Fourth Proportional to 10,537.60, 14,541.56 and 5,822.32

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Solution

The fourth proportional to 10,537.60, 14,541.56 and 5,822.32 is: 8,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.60 : 14,541.56 = 5,822.32 : x
  2. Step 2: Convert to fraction form
    10,537.60/14,541.56 = 5,822.32/x
  3. Step 3: Cross multiply
    10,537.60x = 14,541.56 × 5,822.32
  4. Step 4: Simplify right side
    10,537.60x = 84,665,615.62
  5. Step 5: Solve for x
    x = 84,665,615.62/10,537.60
  6. Step 6: Final answer
    x = 8,034.62

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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.