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Finding the Fourth Proportional to 10,622.58, 14,658.70 and 7,085.32

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Solution

The fourth proportional to 10,622.58, 14,658.70 and 7,085.32 is: 9,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.58 : 14,658.70 = 7,085.32 : x
  2. Step 2: Convert to fraction form
    10,622.58/14,658.70 = 7,085.32/x
  3. Step 3: Cross multiply
    10,622.58x = 14,658.70 × 7,085.32
  4. Step 4: Simplify right side
    10,622.58x = 103,861,580.28
  5. Step 5: Solve for x
    x = 103,861,580.28/10,622.58
  6. Step 6: Final answer
    x = 9,777.43

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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.