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Finding the Fourth Proportional to 11,133.08, 15,328.68 and 9,451

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Solution

The fourth proportional to 11,133.08, 15,328.68 and 9,451 is: 13,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.08 : 15,328.68 = 9,451 : x
  2. Step 2: Convert to fraction form
    11,133.08/15,328.68 = 9,451/x
  3. Step 3: Cross multiply
    11,133.08x = 15,328.68 × 9,451
  4. Step 4: Simplify right side
    11,133.08x = 144,871,354.68
  5. Step 5: Solve for x
    x = 144,871,354.68/11,133.08
  6. Step 6: Final answer
    x = 13,012.69

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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.