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Finding the Fourth Proportional to 7,277.23, 10,042.14 and 4,294

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Solution

The fourth proportional to 7,277.23, 10,042.14 and 4,294 is: 5,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.23 : 10,042.14 = 4,294 : x
  2. Step 2: Convert to fraction form
    7,277.23/10,042.14 = 4,294/x
  3. Step 3: Cross multiply
    7,277.23x = 10,042.14 × 4,294
  4. Step 4: Simplify right side
    7,277.23x = 43,120,949.16
  5. Step 5: Solve for x
    x = 43,120,949.16/7,277.23
  6. Step 6: Final answer
    x = 5,925.46

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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.