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Finding the Fourth Proportional to 10,559.63, 15,843.84 and 4,633.45

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Solution

The fourth proportional to 10,559.63, 15,843.84 and 4,633.45 is: 6,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.63 : 15,843.84 = 4,633.45 : x
  2. Step 2: Convert to fraction form
    10,559.63/15,843.84 = 4,633.45/x
  3. Step 3: Cross multiply
    10,559.63x = 15,843.84 × 4,633.45
  4. Step 4: Simplify right side
    10,559.63x = 73,411,689.40
  5. Step 5: Solve for x
    x = 73,411,689.40/10,559.63
  6. Step 6: Final answer
    x = 6,952.11

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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.