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Finding the Fourth Proportional to 10,506.92, 14,494.95 and 7,521.66

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Solution

The fourth proportional to 10,506.92, 14,494.95 and 7,521.66 is: 10,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.92 : 14,494.95 = 7,521.66 : x
  2. Step 2: Convert to fraction form
    10,506.92/14,494.95 = 7,521.66/x
  3. Step 3: Cross multiply
    10,506.92x = 14,494.95 × 7,521.66
  4. Step 4: Simplify right side
    10,506.92x = 109,026,085.62
  5. Step 5: Solve for x
    x = 109,026,085.62/10,506.92
  6. Step 6: Final answer
    x = 10,376.60

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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.