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Finding the Fourth Proportional to 10,618.08, 14,654.43 and 7,643.76

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Solution

The fourth proportional to 10,618.08, 14,654.43 and 7,643.76 is: 10,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.08 : 14,654.43 = 7,643.76 : x
  2. Step 2: Convert to fraction form
    10,618.08/14,654.43 = 7,643.76/x
  3. Step 3: Cross multiply
    10,618.08x = 14,654.43 × 7,643.76
  4. Step 4: Simplify right side
    10,618.08x = 112,014,945.86
  5. Step 5: Solve for x
    x = 112,014,945.86/10,618.08
  6. Step 6: Final answer
    x = 10,549.45

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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.