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Finding the Fourth Proportional to 7,109.61, 10,658.34 and 3,987.06

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Solution

The fourth proportional to 7,109.61, 10,658.34 and 3,987.06 is: 5,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.61 : 10,658.34 = 3,987.06 : x
  2. Step 2: Convert to fraction form
    7,109.61/10,658.34 = 3,987.06/x
  3. Step 3: Cross multiply
    7,109.61x = 10,658.34 × 3,987.06
  4. Step 4: Simplify right side
    7,109.61x = 42,495,441.08
  5. Step 5: Solve for x
    x = 42,495,441.08/7,109.61
  6. Step 6: Final answer
    x = 5,977.18

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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.