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Finding the Fourth Proportional to 11,507.84, 17,258 and 3,714.80

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Solution

The fourth proportional to 11,507.84, 17,258 and 3,714.80 is: 5,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.84 : 17,258 = 3,714.80 : x
  2. Step 2: Convert to fraction form
    11,507.84/17,258 = 3,714.80/x
  3. Step 3: Cross multiply
    11,507.84x = 17,258 × 3,714.80
  4. Step 4: Simplify right side
    11,507.84x = 64,110,018.40
  5. Step 5: Solve for x
    x = 64,110,018.40/11,507.84
  6. Step 6: Final answer
    x = 5,570.99

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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.