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Finding the Fourth Proportional to 7,058.25, 10,588.01 and 1,864.13

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Solution

The fourth proportional to 7,058.25, 10,588.01 and 1,864.13 is: 2,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.25 : 10,588.01 = 1,864.13 : x
  2. Step 2: Convert to fraction form
    7,058.25/10,588.01 = 1,864.13/x
  3. Step 3: Cross multiply
    7,058.25x = 10,588.01 × 1,864.13
  4. Step 4: Simplify right side
    7,058.25x = 19,737,364.82
  5. Step 5: Solve for x
    x = 19,737,364.82/7,058.25
  6. Step 6: Final answer
    x = 2,796.35

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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.