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Finding the Fourth Proportional to 7,454.16, 10,339.35 and 7,188.21

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Solution

The fourth proportional to 7,454.16, 10,339.35 and 7,188.21 is: 9,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.16 : 10,339.35 = 7,188.21 : x
  2. Step 2: Convert to fraction form
    7,454.16/10,339.35 = 7,188.21/x
  3. Step 3: Cross multiply
    7,454.16x = 10,339.35 × 7,188.21
  4. Step 4: Simplify right side
    7,454.16x = 74,321,419.06
  5. Step 5: Solve for x
    x = 74,321,419.06/7,454.16
  6. Step 6: Final answer
    x = 9,970.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.