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Finding the Fourth Proportional to 10,411.88, 14,368.59 and 6,220.13

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Solution

The fourth proportional to 10,411.88, 14,368.59 and 6,220.13 is: 8,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.88 : 14,368.59 = 6,220.13 : x
  2. Step 2: Convert to fraction form
    10,411.88/14,368.59 = 6,220.13/x
  3. Step 3: Cross multiply
    10,411.88x = 14,368.59 × 6,220.13
  4. Step 4: Simplify right side
    10,411.88x = 89,374,425.87
  5. Step 5: Solve for x
    x = 89,374,425.87/10,411.88
  6. Step 6: Final answer
    x = 8,583.89

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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.