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Finding the Fourth Proportional to 7,042.46, 9,717.57 and 4,058.06

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Solution

The fourth proportional to 7,042.46, 9,717.57 and 4,058.06 is: 5,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.46 : 9,717.57 = 4,058.06 : x
  2. Step 2: Convert to fraction form
    7,042.46/9,717.57 = 4,058.06/x
  3. Step 3: Cross multiply
    7,042.46x = 9,717.57 × 4,058.06
  4. Step 4: Simplify right side
    7,042.46x = 39,434,482.11
  5. Step 5: Solve for x
    x = 39,434,482.11/7,042.46
  6. Step 6: Final answer
    x = 5,599.53

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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.