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Finding the Fourth Proportional to 10,653.54, 15,977.07 and 5,104.02

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Solution

The fourth proportional to 10,653.54, 15,977.07 and 5,104.02 is: 7,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.54 : 15,977.07 = 5,104.02 : x
  2. Step 2: Convert to fraction form
    10,653.54/15,977.07 = 5,104.02/x
  3. Step 3: Cross multiply
    10,653.54x = 15,977.07 × 5,104.02
  4. Step 4: Simplify right side
    10,653.54x = 81,547,284.82
  5. Step 5: Solve for x
    x = 81,547,284.82/10,653.54
  6. Step 6: Final answer
    x = 7,654.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.