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Finding the Fourth Proportional to 7,933.64, 10,948.64 and 4,788

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Solution

The fourth proportional to 7,933.64, 10,948.64 and 4,788 is: 6,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933.64 : 10,948.64 = 4,788 : x
  2. Step 2: Convert to fraction form
    7,933.64/10,948.64 = 4,788/x
  3. Step 3: Cross multiply
    7,933.64x = 10,948.64 × 4,788
  4. Step 4: Simplify right side
    7,933.64x = 52,422,064.38
  5. Step 5: Solve for x
    x = 52,422,064.38/7,933.64
  6. Step 6: Final answer
    x = 6,607.57

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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.