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Finding the Fourth Proportional to 7,703.91, 10,631.35 and 4,167.05

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Solution

The fourth proportional to 7,703.91, 10,631.35 and 4,167.05 is: 5,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.91 : 10,631.35 = 4,167.05 : x
  2. Step 2: Convert to fraction form
    7,703.91/10,631.35 = 4,167.05/x
  3. Step 3: Cross multiply
    7,703.91x = 10,631.35 × 4,167.05
  4. Step 4: Simplify right side
    7,703.91x = 44,301,319.07
  5. Step 5: Solve for x
    x = 44,301,319.07/7,703.91
  6. Step 6: Final answer
    x = 5,750.50

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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.