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Finding the Fourth Proportional to 7,677.85, 10,595.31 and 4,320.66

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Solution

The fourth proportional to 7,677.85, 10,595.31 and 4,320.66 is: 5,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.85 : 10,595.31 = 4,320.66 : x
  2. Step 2: Convert to fraction form
    7,677.85/10,595.31 = 4,320.66/x
  3. Step 3: Cross multiply
    7,677.85x = 10,595.31 × 4,320.66
  4. Step 4: Simplify right side
    7,677.85x = 45,778,710.50
  5. Step 5: Solve for x
    x = 45,778,710.50/7,677.85
  6. Step 6: Final answer
    x = 5,962.44

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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.