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Finding the Fourth Proportional to 7,320, 10,101.60 and 4,176.26

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Solution

The fourth proportional to 7,320, 10,101.60 and 4,176.26 is: 5,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320 : 10,101.60 = 4,176.26 : x
  2. Step 2: Convert to fraction form
    7,320/10,101.60 = 4,176.26/x
  3. Step 3: Cross multiply
    7,320x = 10,101.60 × 4,176.26
  4. Step 4: Simplify right side
    7,320x = 42,186,908.02
  5. Step 5: Solve for x
    x = 42,186,908.02/7,320
  6. Step 6: Final answer
    x = 5,763.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.