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Finding the Fourth Proportional to 10,894.17, 15,041.67 and 8,506.83

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Solution

The fourth proportional to 10,894.17, 15,041.67 and 8,506.83 is: 11,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.17 : 15,041.67 = 8,506.83 : x
  2. Step 2: Convert to fraction form
    10,894.17/15,041.67 = 8,506.83/x
  3. Step 3: Cross multiply
    10,894.17x = 15,041.67 × 8,506.83
  4. Step 4: Simplify right side
    10,894.17x = 127,956,929.61
  5. Step 5: Solve for x
    x = 127,956,929.61/10,894.17
  6. Step 6: Final answer
    x = 11,745.45

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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.