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Finding the Fourth Proportional to 10,518.60, 14,503.68 and 7,834.53

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Solution

The fourth proportional to 10,518.60, 14,503.68 and 7,834.53 is: 10,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.60 : 14,503.68 = 7,834.53 : x
  2. Step 2: Convert to fraction form
    10,518.60/14,503.68 = 7,834.53/x
  3. Step 3: Cross multiply
    10,518.60x = 14,503.68 × 7,834.53
  4. Step 4: Simplify right side
    10,518.60x = 113,629,516.07
  5. Step 5: Solve for x
    x = 113,629,516.07/10,518.60
  6. Step 6: Final answer
    x = 10,802.72

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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.