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Finding the Fourth Proportional to 10,528.24, 14,522.88 and 6,802.24

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Solution

The fourth proportional to 10,528.24, 14,522.88 and 6,802.24 is: 9,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.24 : 14,522.88 = 6,802.24 : x
  2. Step 2: Convert to fraction form
    10,528.24/14,522.88 = 6,802.24/x
  3. Step 3: Cross multiply
    10,528.24x = 14,522.88 × 6,802.24
  4. Step 4: Simplify right side
    10,528.24x = 98,788,115.25
  5. Step 5: Solve for x
    x = 98,788,115.25/10,528.24
  6. Step 6: Final answer
    x = 9,383.16

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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.