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Finding the Fourth Proportional to 10,259.13, 15,396 and 3,686.30

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Solution

The fourth proportional to 10,259.13, 15,396 and 3,686.30 is: 5,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.13 : 15,396 = 3,686.30 : x
  2. Step 2: Convert to fraction form
    10,259.13/15,396 = 3,686.30/x
  3. Step 3: Cross multiply
    10,259.13x = 15,396 × 3,686.30
  4. Step 4: Simplify right side
    10,259.13x = 56,754,274.80
  5. Step 5: Solve for x
    x = 56,754,274.80/10,259.13
  6. Step 6: Final answer
    x = 5,532.07

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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.