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Finding the Fourth Proportional to 7,884.04, 11,827.14 and 3,501.40

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Solution

The fourth proportional to 7,884.04, 11,827.14 and 3,501.40 is: 5,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.04 : 11,827.14 = 3,501.40 : x
  2. Step 2: Convert to fraction form
    7,884.04/11,827.14 = 3,501.40/x
  3. Step 3: Cross multiply
    7,884.04x = 11,827.14 × 3,501.40
  4. Step 4: Simplify right side
    7,884.04x = 41,411,548.00
  5. Step 5: Solve for x
    x = 41,411,548.00/7,884.04
  6. Step 6: Final answer
    x = 5,252.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.