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Finding the Fourth Proportional to 8,666.25, 13,001.54 and 2,510.25

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Solution

The fourth proportional to 8,666.25, 13,001.54 and 2,510.25 is: 3,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.25 : 13,001.54 = 2,510.25 : x
  2. Step 2: Convert to fraction form
    8,666.25/13,001.54 = 2,510.25/x
  3. Step 3: Cross multiply
    8,666.25x = 13,001.54 × 2,510.25
  4. Step 4: Simplify right side
    8,666.25x = 32,637,115.79
  5. Step 5: Solve for x
    x = 32,637,115.79/8,666.25
  6. Step 6: Final answer
    x = 3,766.00

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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.