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Finding the Fourth Proportional to 10,335.96, 15,509.16 and 4,783.05

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Solution

The fourth proportional to 10,335.96, 15,509.16 and 4,783.05 is: 7,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.96 : 15,509.16 = 4,783.05 : x
  2. Step 2: Convert to fraction form
    10,335.96/15,509.16 = 4,783.05/x
  3. Step 3: Cross multiply
    10,335.96x = 15,509.16 × 4,783.05
  4. Step 4: Simplify right side
    10,335.96x = 74,181,087.74
  5. Step 5: Solve for x
    x = 74,181,087.74/10,335.96
  6. Step 6: Final answer
    x = 7,176.99

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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.