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Finding the Fourth Proportional to 7,547.38, 10,425.36 and 6,292.54

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Solution

The fourth proportional to 7,547.38, 10,425.36 and 6,292.54 is: 8,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.38 : 10,425.36 = 6,292.54 : x
  2. Step 2: Convert to fraction form
    7,547.38/10,425.36 = 6,292.54/x
  3. Step 3: Cross multiply
    7,547.38x = 10,425.36 × 6,292.54
  4. Step 4: Simplify right side
    7,547.38x = 65,601,994.81
  5. Step 5: Solve for x
    x = 65,601,994.81/7,547.38
  6. Step 6: Final answer
    x = 8,692.02

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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.