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Finding the Fourth Proportional to 10,045.63, 13,858.51 and 7,063.39

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Solution

The fourth proportional to 10,045.63, 13,858.51 and 7,063.39 is: 9,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.63 : 13,858.51 = 7,063.39 : x
  2. Step 2: Convert to fraction form
    10,045.63/13,858.51 = 7,063.39/x
  3. Step 3: Cross multiply
    10,045.63x = 13,858.51 × 7,063.39
  4. Step 4: Simplify right side
    10,045.63x = 97,888,060.95
  5. Step 5: Solve for x
    x = 97,888,060.95/10,045.63
  6. Step 6: Final answer
    x = 9,744.34

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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.