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Finding the Fourth Proportional to 10,915.84, 15,068.16 and 7,188.48

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Solution

The fourth proportional to 10,915.84, 15,068.16 and 7,188.48 is: 9,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.84 : 15,068.16 = 7,188.48 : x
  2. Step 2: Convert to fraction form
    10,915.84/15,068.16 = 7,188.48/x
  3. Step 3: Cross multiply
    10,915.84x = 15,068.16 × 7,188.48
  4. Step 4: Simplify right side
    10,915.84x = 108,317,166.80
  5. Step 5: Solve for x
    x = 108,317,166.80/10,915.84
  6. Step 6: Final answer
    x = 9,922.93

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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.