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Finding the Fourth Proportional to 10,658.40, 14,708.04 and 5,941.76

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Solution

The fourth proportional to 10,658.40, 14,708.04 and 5,941.76 is: 8,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.40 : 14,708.04 = 5,941.76 : x
  2. Step 2: Convert to fraction form
    10,658.40/14,708.04 = 5,941.76/x
  3. Step 3: Cross multiply
    10,658.40x = 14,708.04 × 5,941.76
  4. Step 4: Simplify right side
    10,658.40x = 87,391,643.75
  5. Step 5: Solve for x
    x = 87,391,643.75/10,658.40
  6. Step 6: Final answer
    x = 8,199.32

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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.