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Finding the Fourth Proportional to 10,508.50, 14,501.83 and 5,792.95

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Solution

The fourth proportional to 10,508.50, 14,501.83 and 5,792.95 is: 7,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.50 : 14,501.83 = 5,792.95 : x
  2. Step 2: Convert to fraction form
    10,508.50/14,501.83 = 5,792.95/x
  3. Step 3: Cross multiply
    10,508.50x = 14,501.83 × 5,792.95
  4. Step 4: Simplify right side
    10,508.50x = 84,008,325.36
  5. Step 5: Solve for x
    x = 84,008,325.36/10,508.50
  6. Step 6: Final answer
    x = 7,994.32

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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.