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Finding the Fourth Proportional to 13,125.64, 18,113.32 and 7,820.52

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Solution

The fourth proportional to 13,125.64, 18,113.32 and 7,820.52 is: 10,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.64 : 18,113.32 = 7,820.52 : x
  2. Step 2: Convert to fraction form
    13,125.64/18,113.32 = 7,820.52/x
  3. Step 3: Cross multiply
    13,125.64x = 18,113.32 × 7,820.52
  4. Step 4: Simplify right side
    13,125.64x = 141,655,581.33
  5. Step 5: Solve for x
    x = 141,655,581.33/13,125.64
  6. Step 6: Final answer
    x = 10,792.28

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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.