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Finding the Fourth Proportional to 10,605.32, 14,635.86 and 7,948.52

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Solution

The fourth proportional to 10,605.32, 14,635.86 and 7,948.52 is: 10,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.32 : 14,635.86 = 7,948.52 : x
  2. Step 2: Convert to fraction form
    10,605.32/14,635.86 = 7,948.52/x
  3. Step 3: Cross multiply
    10,605.32x = 14,635.86 × 7,948.52
  4. Step 4: Simplify right side
    10,605.32x = 116,333,425.93
  5. Step 5: Solve for x
    x = 116,333,425.93/10,605.32
  6. Step 6: Final answer
    x = 10,969.35

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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.