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Finding the Fourth Proportional to 10,169.36, 15,259.28 and 7,703.36

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Solution

The fourth proportional to 10,169.36, 15,259.28 and 7,703.36 is: 11,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.36 : 15,259.28 = 7,703.36 : x
  2. Step 2: Convert to fraction form
    10,169.36/15,259.28 = 7,703.36/x
  3. Step 3: Cross multiply
    10,169.36x = 15,259.28 × 7,703.36
  4. Step 4: Simplify right side
    10,169.36x = 117,547,727.18
  5. Step 5: Solve for x
    x = 117,547,727.18/10,169.36
  6. Step 6: Final answer
    x = 11,559.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.