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Finding the Fourth Proportional to 10,788, 14,888.04 and 6,596.52

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Solution

The fourth proportional to 10,788, 14,888.04 and 6,596.52 is: 9,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788 : 14,888.04 = 6,596.52 : x
  2. Step 2: Convert to fraction form
    10,788/14,888.04 = 6,596.52/x
  3. Step 3: Cross multiply
    10,788x = 14,888.04 × 6,596.52
  4. Step 4: Simplify right side
    10,788x = 98,209,253.62
  5. Step 5: Solve for x
    x = 98,209,253.62/10,788
  6. Step 6: Final answer
    x = 9,103.56

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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.