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Finding the Fourth Proportional to 10,490.16, 15,720.08 and 7,894.96

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Solution

The fourth proportional to 10,490.16, 15,720.08 and 7,894.96 is: 11,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.16 : 15,720.08 = 7,894.96 : x
  2. Step 2: Convert to fraction form
    10,490.16/15,720.08 = 7,894.96/x
  3. Step 3: Cross multiply
    10,490.16x = 15,720.08 × 7,894.96
  4. Step 4: Simplify right side
    10,490.16x = 124,109,402.80
  5. Step 5: Solve for x
    x = 124,109,402.80/10,490.16
  6. Step 6: Final answer
    x = 11,831.03

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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.