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Finding the Fourth Proportional to 10,916.97, 15,058.14 and 7,509.33

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Solution

The fourth proportional to 10,916.97, 15,058.14 and 7,509.33 is: 10,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.97 : 15,058.14 = 7,509.33 : x
  2. Step 2: Convert to fraction form
    10,916.97/15,058.14 = 7,509.33/x
  3. Step 3: Cross multiply
    10,916.97x = 15,058.14 × 7,509.33
  4. Step 4: Simplify right side
    10,916.97x = 113,076,542.45
  5. Step 5: Solve for x
    x = 113,076,542.45/10,916.97
  6. Step 6: Final answer
    x = 10,357.87

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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.