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Finding the Fourth Proportional to 10,032.54, 13,849.92 and 6,498.60

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Solution

The fourth proportional to 10,032.54, 13,849.92 and 6,498.60 is: 8,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.54 : 13,849.92 = 6,498.60 : x
  2. Step 2: Convert to fraction form
    10,032.54/13,849.92 = 6,498.60/x
  3. Step 3: Cross multiply
    10,032.54x = 13,849.92 × 6,498.60
  4. Step 4: Simplify right side
    10,032.54x = 90,005,090.11
  5. Step 5: Solve for x
    x = 90,005,090.11/10,032.54
  6. Step 6: Final answer
    x = 8,971.32

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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.