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Finding the Fourth Proportional to 7,894.80, 10,895.04 and 4,752

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Solution

The fourth proportional to 7,894.80, 10,895.04 and 4,752 is: 6,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.80 : 10,895.04 = 4,752 : x
  2. Step 2: Convert to fraction form
    7,894.80/10,895.04 = 4,752/x
  3. Step 3: Cross multiply
    7,894.80x = 10,895.04 × 4,752
  4. Step 4: Simplify right side
    7,894.80x = 51,773,230.08
  5. Step 5: Solve for x
    x = 51,773,230.08/7,894.80
  6. Step 6: Final answer
    x = 6,557.89

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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.