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Finding the Fourth Proportional to 10,365.02, 14,303.34 and 5,649.20

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Solution

The fourth proportional to 10,365.02, 14,303.34 and 5,649.20 is: 7,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.02 : 14,303.34 = 5,649.20 : x
  2. Step 2: Convert to fraction form
    10,365.02/14,303.34 = 5,649.20/x
  3. Step 3: Cross multiply
    10,365.02x = 14,303.34 × 5,649.20
  4. Step 4: Simplify right side
    10,365.02x = 80,802,356.81
  5. Step 5: Solve for x
    x = 80,802,356.81/10,365.02
  6. Step 6: Final answer
    x = 7,795.68

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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.