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Finding the Fourth Proportional to 7,783.70, 10,741.45 and 4,426.51

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Solution

The fourth proportional to 7,783.70, 10,741.45 and 4,426.51 is: 6,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.70 : 10,741.45 = 4,426.51 : x
  2. Step 2: Convert to fraction form
    7,783.70/10,741.45 = 4,426.51/x
  3. Step 3: Cross multiply
    7,783.70x = 10,741.45 × 4,426.51
  4. Step 4: Simplify right side
    7,783.70x = 47,547,097.92
  5. Step 5: Solve for x
    x = 47,547,097.92/7,783.70
  6. Step 6: Final answer
    x = 6,108.55

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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.