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Finding the Fourth Proportional to 10,577.48, 14,593.62 and 7,041.28

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Solution

The fourth proportional to 10,577.48, 14,593.62 and 7,041.28 is: 9,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.48 : 14,593.62 = 7,041.28 : x
  2. Step 2: Convert to fraction form
    10,577.48/14,593.62 = 7,041.28/x
  3. Step 3: Cross multiply
    10,577.48x = 14,593.62 × 7,041.28
  4. Step 4: Simplify right side
    10,577.48x = 102,757,764.63
  5. Step 5: Solve for x
    x = 102,757,764.63/10,577.48
  6. Step 6: Final answer
    x = 9,714.77

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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.