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Finding the Fourth Proportional to 7,628.84, 10,522.35 and 7,001.39

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Solution

The fourth proportional to 7,628.84, 10,522.35 and 7,001.39 is: 9,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.84 : 10,522.35 = 7,001.39 : x
  2. Step 2: Convert to fraction form
    7,628.84/10,522.35 = 7,001.39/x
  3. Step 3: Cross multiply
    7,628.84x = 10,522.35 × 7,001.39
  4. Step 4: Simplify right side
    7,628.84x = 73,671,023.45
  5. Step 5: Solve for x
    x = 73,671,023.45/7,628.84
  6. Step 6: Final answer
    x = 9,656.92

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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.