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Finding the Fourth Proportional to 11,534.49, 15,925.29 and 6,820.29

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Solution

The fourth proportional to 11,534.49, 15,925.29 and 6,820.29 is: 9,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.49 : 15,925.29 = 6,820.29 : x
  2. Step 2: Convert to fraction form
    11,534.49/15,925.29 = 6,820.29/x
  3. Step 3: Cross multiply
    11,534.49x = 15,925.29 × 6,820.29
  4. Step 4: Simplify right side
    11,534.49x = 108,615,096.13
  5. Step 5: Solve for x
    x = 108,615,096.13/11,534.49
  6. Step 6: Final answer
    x = 9,416.55

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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.