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Finding the Fourth Proportional to 10,646.44, 14,689.29 and 7,103.50

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Solution

The fourth proportional to 10,646.44, 14,689.29 and 7,103.50 is: 9,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.44 : 14,689.29 = 7,103.50 : x
  2. Step 2: Convert to fraction form
    10,646.44/14,689.29 = 7,103.50/x
  3. Step 3: Cross multiply
    10,646.44x = 14,689.29 × 7,103.50
  4. Step 4: Simplify right side
    10,646.44x = 104,345,371.52
  5. Step 5: Solve for x
    x = 104,345,371.52/10,646.44
  6. Step 6: Final answer
    x = 9,800.96

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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.