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Finding the Fourth Proportional to 10,830.47, 16,208.74 and 9,077.45

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Solution

The fourth proportional to 10,830.47, 16,208.74 and 9,077.45 is: 13,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.47 : 16,208.74 = 9,077.45 : x
  2. Step 2: Convert to fraction form
    10,830.47/16,208.74 = 9,077.45/x
  3. Step 3: Cross multiply
    10,830.47x = 16,208.74 × 9,077.45
  4. Step 4: Simplify right side
    10,830.47x = 147,134,004.22
  5. Step 5: Solve for x
    x = 147,134,004.22/10,830.47
  6. Step 6: Final answer
    x = 13,585.19

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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.