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Finding the Fourth Proportional to 7,090.59, 9,783.95 and 4,106.72

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Solution

The fourth proportional to 7,090.59, 9,783.95 and 4,106.72 is: 5,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.59 : 9,783.95 = 4,106.72 : x
  2. Step 2: Convert to fraction form
    7,090.59/9,783.95 = 4,106.72/x
  3. Step 3: Cross multiply
    7,090.59x = 9,783.95 × 4,106.72
  4. Step 4: Simplify right side
    7,090.59x = 40,179,873.69
  5. Step 5: Solve for x
    x = 40,179,873.69/7,090.59
  6. Step 6: Final answer
    x = 5,666.65

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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.