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Finding the Fourth Proportional to 10,491.14, 14,477.77 and 5,775.42

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Solution

The fourth proportional to 10,491.14, 14,477.77 and 5,775.42 is: 7,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.14 : 14,477.77 = 5,775.42 : x
  2. Step 2: Convert to fraction form
    10,491.14/14,477.77 = 5,775.42/x
  3. Step 3: Cross multiply
    10,491.14x = 14,477.77 × 5,775.42
  4. Step 4: Simplify right side
    10,491.14x = 83,615,202.41
  5. Step 5: Solve for x
    x = 83,615,202.41/10,491.14
  6. Step 6: Final answer
    x = 7,970.08

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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.