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Finding the Fourth Proportional to 10,615.20, 14,646.28 and 7,076.04

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Solution

The fourth proportional to 10,615.20, 14,646.28 and 7,076.04 is: 9,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.20 : 14,646.28 = 7,076.04 : x
  2. Step 2: Convert to fraction form
    10,615.20/14,646.28 = 7,076.04/x
  3. Step 3: Cross multiply
    10,615.20x = 14,646.28 × 7,076.04
  4. Step 4: Simplify right side
    10,615.20x = 103,637,663.13
  5. Step 5: Solve for x
    x = 103,637,663.13/10,615.20
  6. Step 6: Final answer
    x = 9,763.14

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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.