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Finding the Fourth Proportional to 10,518.98, 15,784.50 and 4,277.84

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Solution

The fourth proportional to 10,518.98, 15,784.50 and 4,277.84 is: 6,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.98 : 15,784.50 = 4,277.84 : x
  2. Step 2: Convert to fraction form
    10,518.98/15,784.50 = 4,277.84/x
  3. Step 3: Cross multiply
    10,518.98x = 15,784.50 × 4,277.84
  4. Step 4: Simplify right side
    10,518.98x = 67,523,565.48
  5. Step 5: Solve for x
    x = 67,523,565.48/10,518.98
  6. Step 6: Final answer
    x = 6,419.21

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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.