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Finding the Fourth Proportional to 7,156.16, 9,875.49 and 4,012.35

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Solution

The fourth proportional to 7,156.16, 9,875.49 and 4,012.35 is: 5,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.16 : 9,875.49 = 4,012.35 : x
  2. Step 2: Convert to fraction form
    7,156.16/9,875.49 = 4,012.35/x
  3. Step 3: Cross multiply
    7,156.16x = 9,875.49 × 4,012.35
  4. Step 4: Simplify right side
    7,156.16x = 39,623,922.30
  5. Step 5: Solve for x
    x = 39,623,922.30/7,156.16
  6. Step 6: Final answer
    x = 5,537.04

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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.