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Finding the Fourth Proportional to 7,679.93, 10,595.66 and 4,656.02

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Solution

The fourth proportional to 7,679.93, 10,595.66 and 4,656.02 is: 6,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.93 : 10,595.66 = 4,656.02 : x
  2. Step 2: Convert to fraction form
    7,679.93/10,595.66 = 4,656.02/x
  3. Step 3: Cross multiply
    7,679.93x = 10,595.66 × 4,656.02
  4. Step 4: Simplify right side
    7,679.93x = 49,333,588.22
  5. Step 5: Solve for x
    x = 49,333,588.22/7,679.93
  6. Step 6: Final answer
    x = 6,423.71

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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.