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Finding the Fourth Proportional to 7,828.17, 10,803.15 and 4,291.40

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Solution

The fourth proportional to 7,828.17, 10,803.15 and 4,291.40 is: 5,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.17 : 10,803.15 = 4,291.40 : x
  2. Step 2: Convert to fraction form
    7,828.17/10,803.15 = 4,291.40/x
  3. Step 3: Cross multiply
    7,828.17x = 10,803.15 × 4,291.40
  4. Step 4: Simplify right side
    7,828.17x = 46,360,583.89
  5. Step 5: Solve for x
    x = 46,360,583.89/7,828.17
  6. Step 6: Final answer
    x = 5,922.28

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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.