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Finding the Fourth Proportional to 11,422.84, 15,762.13 and 6,317.66

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Solution

The fourth proportional to 11,422.84, 15,762.13 and 6,317.66 is: 8,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.84 : 15,762.13 = 6,317.66 : x
  2. Step 2: Convert to fraction form
    11,422.84/15,762.13 = 6,317.66/x
  3. Step 3: Cross multiply
    11,422.84x = 15,762.13 × 6,317.66
  4. Step 4: Simplify right side
    11,422.84x = 99,579,746.63
  5. Step 5: Solve for x
    x = 99,579,746.63/11,422.84
  6. Step 6: Final answer
    x = 8,717.60

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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.