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Finding the Fourth Proportional to 7,857.47, 11,783.14 and 2,925.99

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Solution

The fourth proportional to 7,857.47, 11,783.14 and 2,925.99 is: 4,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.47 : 11,783.14 = 2,925.99 : x
  2. Step 2: Convert to fraction form
    7,857.47/11,783.14 = 2,925.99/x
  3. Step 3: Cross multiply
    7,857.47x = 11,783.14 × 2,925.99
  4. Step 4: Simplify right side
    7,857.47x = 34,477,342.49
  5. Step 5: Solve for x
    x = 34,477,342.49/7,857.47
  6. Step 6: Final answer
    x = 4,387.84

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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.