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Finding the Fourth Proportional to 11,671.64, 17,507.48 and 4,746.16

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Solution

The fourth proportional to 11,671.64, 17,507.48 and 4,746.16 is: 7,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.64 : 17,507.48 = 4,746.16 : x
  2. Step 2: Convert to fraction form
    11,671.64/17,507.48 = 4,746.16/x
  3. Step 3: Cross multiply
    11,671.64x = 17,507.48 × 4,746.16
  4. Step 4: Simplify right side
    11,671.64x = 83,093,301.28
  5. Step 5: Solve for x
    x = 83,093,301.28/11,671.64
  6. Step 6: Final answer
    x = 7,119.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.