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Finding the Fourth Proportional to 7,152.41, 9,870.91 and 3,966.71

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Solution

The fourth proportional to 7,152.41, 9,870.91 and 3,966.71 is: 5,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.41 : 9,870.91 = 3,966.71 : x
  2. Step 2: Convert to fraction form
    7,152.41/9,870.91 = 3,966.71/x
  3. Step 3: Cross multiply
    7,152.41x = 9,870.91 × 3,966.71
  4. Step 4: Simplify right side
    7,152.41x = 39,154,978.13
  5. Step 5: Solve for x
    x = 39,154,978.13/7,152.41
  6. Step 6: Final answer
    x = 5,474.38

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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.