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Finding the Fourth Proportional to 7,864.79, 10,853.41 and 4,328.00

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Solution

The fourth proportional to 7,864.79, 10,853.41 and 4,328.00 is: 5,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.79 : 10,853.41 = 4,328.00 : x
  2. Step 2: Convert to fraction form
    7,864.79/10,853.41 = 4,328.00/x
  3. Step 3: Cross multiply
    7,864.79x = 10,853.41 × 4,328.00
  4. Step 4: Simplify right side
    7,864.79x = 46,973,603.26
  5. Step 5: Solve for x
    x = 46,973,603.26/7,864.79
  6. Step 6: Final answer
    x = 5,972.65

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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.