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Finding the Fourth Proportional to 10,605.41, 15,894.28 and 5,925.23

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Solution

The fourth proportional to 10,605.41, 15,894.28 and 5,925.23 is: 8,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.41 : 15,894.28 = 5,925.23 : x
  2. Step 2: Convert to fraction form
    10,605.41/15,894.28 = 5,925.23/x
  3. Step 3: Cross multiply
    10,605.41x = 15,894.28 × 5,925.23
  4. Step 4: Simplify right side
    10,605.41x = 94,177,235.06
  5. Step 5: Solve for x
    x = 94,177,235.06/10,605.41
  6. Step 6: Final answer
    x = 8,880.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.