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Finding the Fourth Proportional to 11,206.04, 15,459 and 7,225.16

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Solution

The fourth proportional to 11,206.04, 15,459 and 7,225.16 is: 9,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.04 : 15,459 = 7,225.16 : x
  2. Step 2: Convert to fraction form
    11,206.04/15,459 = 7,225.16/x
  3. Step 3: Cross multiply
    11,206.04x = 15,459 × 7,225.16
  4. Step 4: Simplify right side
    11,206.04x = 111,693,748.44
  5. Step 5: Solve for x
    x = 111,693,748.44/11,206.04
  6. Step 6: Final answer
    x = 9,967.28

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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.