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Finding the Fourth Proportional to 10,518.62, 14,493.74 and 7,155.58

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Solution

The fourth proportional to 10,518.62, 14,493.74 and 7,155.58 is: 9,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.62 : 14,493.74 = 7,155.58 : x
  2. Step 2: Convert to fraction form
    10,518.62/14,493.74 = 7,155.58/x
  3. Step 3: Cross multiply
    10,518.62x = 14,493.74 × 7,155.58
  4. Step 4: Simplify right side
    10,518.62x = 103,711,116.07
  5. Step 5: Solve for x
    x = 103,711,116.07/10,518.62
  6. Step 6: Final answer
    x = 9,859.76

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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.