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Finding the Fourth Proportional to 10,562.72, 14,580.12 and 7,026.80

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Solution

The fourth proportional to 10,562.72, 14,580.12 and 7,026.80 is: 9,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.72 : 14,580.12 = 7,026.80 : x
  2. Step 2: Convert to fraction form
    10,562.72/14,580.12 = 7,026.80/x
  3. Step 3: Cross multiply
    10,562.72x = 14,580.12 × 7,026.80
  4. Step 4: Simplify right side
    10,562.72x = 102,451,587.22
  5. Step 5: Solve for x
    x = 102,451,587.22/10,562.72
  6. Step 6: Final answer
    x = 9,699.36

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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.