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Finding the Fourth Proportional to 10,658.77, 14,695.39 and 7,295.78

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Solution

The fourth proportional to 10,658.77, 14,695.39 and 7,295.78 is: 10,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.77 : 14,695.39 = 7,295.78 : x
  2. Step 2: Convert to fraction form
    10,658.77/14,695.39 = 7,295.78/x
  3. Step 3: Cross multiply
    10,658.77x = 14,695.39 × 7,295.78
  4. Step 4: Simplify right side
    10,658.77x = 107,214,378.31
  5. Step 5: Solve for x
    x = 107,214,378.31/10,658.77
  6. Step 6: Final answer
    x = 10,058.80

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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.