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Finding the Fourth Proportional to 10,798.09, 14,903.66 and 7,259.24

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Solution

The fourth proportional to 10,798.09, 14,903.66 and 7,259.24 is: 10,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.09 : 14,903.66 = 7,259.24 : x
  2. Step 2: Convert to fraction form
    10,798.09/14,903.66 = 7,259.24/x
  3. Step 3: Cross multiply
    10,798.09x = 14,903.66 × 7,259.24
  4. Step 4: Simplify right side
    10,798.09x = 108,189,300.23
  5. Step 5: Solve for x
    x = 108,189,300.23/10,798.09
  6. Step 6: Final answer
    x = 10,019.30

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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.