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Finding the Fourth Proportional to 10,365, 14,303.70 and 5,649.32

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Solution

The fourth proportional to 10,365, 14,303.70 and 5,649.32 is: 7,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365 : 14,303.70 = 5,649.32 : x
  2. Step 2: Convert to fraction form
    10,365/14,303.70 = 5,649.32/x
  3. Step 3: Cross multiply
    10,365x = 14,303.70 × 5,649.32
  4. Step 4: Simplify right side
    10,365x = 80,806,106.97
  5. Step 5: Solve for x
    x = 80,806,106.97/10,365
  6. Step 6: Final answer
    x = 7,796.05

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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.