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Finding the Fourth Proportional to 11,465.88, 15,823.50 and 6,431.16

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Solution

The fourth proportional to 11,465.88, 15,823.50 and 6,431.16 is: 8,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.88 : 15,823.50 = 6,431.16 : x
  2. Step 2: Convert to fraction form
    11,465.88/15,823.50 = 6,431.16/x
  3. Step 3: Cross multiply
    11,465.88x = 15,823.50 × 6,431.16
  4. Step 4: Simplify right side
    11,465.88x = 101,763,460.26
  5. Step 5: Solve for x
    x = 101,763,460.26/11,465.88
  6. Step 6: Final answer
    x = 8,875.33

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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.