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Finding the Fourth Proportional to 11,465.04, 15,824.03 and 7,436.86

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Solution

The fourth proportional to 11,465.04, 15,824.03 and 7,436.86 is: 10,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.04 : 15,824.03 = 7,436.86 : x
  2. Step 2: Convert to fraction form
    11,465.04/15,824.03 = 7,436.86/x
  3. Step 3: Cross multiply
    11,465.04x = 15,824.03 × 7,436.86
  4. Step 4: Simplify right side
    11,465.04x = 117,681,058.56
  5. Step 5: Solve for x
    x = 117,681,058.56/11,465.04
  6. Step 6: Final answer
    x = 10,264.34

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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.