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Finding the Fourth Proportional to 10,910.84, 15,058.92 and 6,434.32

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Solution

The fourth proportional to 10,910.84, 15,058.92 and 6,434.32 is: 8,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.84 : 15,058.92 = 6,434.32 : x
  2. Step 2: Convert to fraction form
    10,910.84/15,058.92 = 6,434.32/x
  3. Step 3: Cross multiply
    10,910.84x = 15,058.92 × 6,434.32
  4. Step 4: Simplify right side
    10,910.84x = 96,893,910.13
  5. Step 5: Solve for x
    x = 96,893,910.13/10,910.84
  6. Step 6: Final answer
    x = 8,880.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.