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Finding the Fourth Proportional to 7,658.42, 10,567.85 and 4,300.46

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Solution

The fourth proportional to 7,658.42, 10,567.85 and 4,300.46 is: 5,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.42 : 10,567.85 = 4,300.46 : x
  2. Step 2: Convert to fraction form
    7,658.42/10,567.85 = 4,300.46/x
  3. Step 3: Cross multiply
    7,658.42x = 10,567.85 × 4,300.46
  4. Step 4: Simplify right side
    7,658.42x = 45,446,581.50
  5. Step 5: Solve for x
    x = 45,446,581.50/7,658.42
  6. Step 6: Final answer
    x = 5,934.20

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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.