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Finding the Fourth Proportional to 10,468.34, 15,707.67 and 4,922.18

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Solution

The fourth proportional to 10,468.34, 15,707.67 and 4,922.18 is: 7,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.34 : 15,707.67 = 4,922.18 : x
  2. Step 2: Convert to fraction form
    10,468.34/15,707.67 = 4,922.18/x
  3. Step 3: Cross multiply
    10,468.34x = 15,707.67 × 4,922.18
  4. Step 4: Simplify right side
    10,468.34x = 77,315,979.12
  5. Step 5: Solve for x
    x = 77,315,979.12/10,468.34
  6. Step 6: Final answer
    x = 7,385.70

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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.