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Finding the Fourth Proportional to 7,925.58, 11,883.51 and 3,537

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Solution

The fourth proportional to 7,925.58, 11,883.51 and 3,537 is: 5,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.58 : 11,883.51 = 3,537 : x
  2. Step 2: Convert to fraction form
    7,925.58/11,883.51 = 3,537/x
  3. Step 3: Cross multiply
    7,925.58x = 11,883.51 × 3,537
  4. Step 4: Simplify right side
    7,925.58x = 42,031,974.87
  5. Step 5: Solve for x
    x = 42,031,974.87/7,925.58
  6. Step 6: Final answer
    x = 5,303.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.