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Finding the Fourth Proportional to 10,830.59, 16,208.93 and 9,077.58

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Solution

The fourth proportional to 10,830.59, 16,208.93 and 9,077.58 is: 13,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.59 : 16,208.93 = 9,077.58 : x
  2. Step 2: Convert to fraction form
    10,830.59/16,208.93 = 9,077.58/x
  3. Step 3: Cross multiply
    10,830.59x = 16,208.93 × 9,077.58
  4. Step 4: Simplify right side
    10,830.59x = 147,137,743.70
  5. Step 5: Solve for x
    x = 147,137,743.70/10,830.59
  6. Step 6: Final answer
    x = 13,585.38

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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.