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Finding the Fourth Proportional to 10,435.24, 15,647.98 and 6,053.94

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Solution

The fourth proportional to 10,435.24, 15,647.98 and 6,053.94 is: 9,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.24 : 15,647.98 = 6,053.94 : x
  2. Step 2: Convert to fraction form
    10,435.24/15,647.98 = 6,053.94/x
  3. Step 3: Cross multiply
    10,435.24x = 15,647.98 × 6,053.94
  4. Step 4: Simplify right side
    10,435.24x = 94,731,932.04
  5. Step 5: Solve for x
    x = 94,731,932.04/10,435.24
  6. Step 6: Final answer
    x = 9,078.08

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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.