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Finding the Fourth Proportional to 10,237.32, 15,329.16 and 7,107.84

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Solution

The fourth proportional to 10,237.32, 15,329.16 and 7,107.84 is: 10,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.32 : 15,329.16 = 7,107.84 : x
  2. Step 2: Convert to fraction form
    10,237.32/15,329.16 = 7,107.84/x
  3. Step 3: Cross multiply
    10,237.32x = 15,329.16 × 7,107.84
  4. Step 4: Simplify right side
    10,237.32x = 108,957,216.61
  5. Step 5: Solve for x
    x = 108,957,216.61/10,237.32
  6. Step 6: Final answer
    x = 10,643.14

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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.