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Finding the Fourth Proportional to 7,292.64, 10,065.12 and 4,148.20

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Solution

The fourth proportional to 7,292.64, 10,065.12 and 4,148.20 is: 5,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.64 : 10,065.12 = 4,148.20 : x
  2. Step 2: Convert to fraction form
    7,292.64/10,065.12 = 4,148.20/x
  3. Step 3: Cross multiply
    7,292.64x = 10,065.12 × 4,148.20
  4. Step 4: Simplify right side
    7,292.64x = 41,752,130.78
  5. Step 5: Solve for x
    x = 41,752,130.78/7,292.64
  6. Step 6: Final answer
    x = 5,725.24

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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.