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Finding the Fourth Proportional to 10,521.40, 15,782.10 and 8,957.80

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Solution

The fourth proportional to 10,521.40, 15,782.10 and 8,957.80 is: 13,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.40 : 15,782.10 = 8,957.80 : x
  2. Step 2: Convert to fraction form
    10,521.40/15,782.10 = 8,957.80/x
  3. Step 3: Cross multiply
    10,521.40x = 15,782.10 × 8,957.80
  4. Step 4: Simplify right side
    10,521.40x = 141,372,895.38
  5. Step 5: Solve for x
    x = 141,372,895.38/10,521.40
  6. Step 6: Final answer
    x = 13,436.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.