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Finding the Fourth Proportional to 8,927.01, 13,411.32 and 7,681.47

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Solution

The fourth proportional to 8,927.01, 13,411.32 and 7,681.47 is: 11,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.01 : 13,411.32 = 7,681.47 : x
  2. Step 2: Convert to fraction form
    8,927.01/13,411.32 = 7,681.47/x
  3. Step 3: Cross multiply
    8,927.01x = 13,411.32 × 7,681.47
  4. Step 4: Simplify right side
    8,927.01x = 103,018,652.24
  5. Step 5: Solve for x
    x = 103,018,652.24/8,927.01
  6. Step 6: Final answer
    x = 11,540.11

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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.