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Finding the Fourth Proportional to 10,802.32, 14,909.97 and 7,034.87

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Solution

The fourth proportional to 10,802.32, 14,909.97 and 7,034.87 is: 9,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.32 : 14,909.97 = 7,034.87 : x
  2. Step 2: Convert to fraction form
    10,802.32/14,909.97 = 7,034.87/x
  3. Step 3: Cross multiply
    10,802.32x = 14,909.97 × 7,034.87
  4. Step 4: Simplify right side
    10,802.32x = 104,889,764.31
  5. Step 5: Solve for x
    x = 104,889,764.31/10,802.32
  6. Step 6: Final answer
    x = 9,709.93

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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.