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Finding the Fourth Proportional to 7,677.93, 10,595.39 and 4,693.80

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Solution

The fourth proportional to 7,677.93, 10,595.39 and 4,693.80 is: 6,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.93 : 10,595.39 = 4,693.80 : x
  2. Step 2: Convert to fraction form
    7,677.93/10,595.39 = 4,693.80/x
  3. Step 3: Cross multiply
    7,677.93x = 10,595.39 × 4,693.80
  4. Step 4: Simplify right side
    7,677.93x = 49,732,618.11
  5. Step 5: Solve for x
    x = 49,732,618.11/7,677.93
  6. Step 6: Final answer
    x = 6,477.35

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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.