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Finding the Fourth Proportional to 10,970.28, 15,127.68 and 7,782.12

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Solution

The fourth proportional to 10,970.28, 15,127.68 and 7,782.12 is: 10,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.28 : 15,127.68 = 7,782.12 : x
  2. Step 2: Convert to fraction form
    10,970.28/15,127.68 = 7,782.12/x
  3. Step 3: Cross multiply
    10,970.28x = 15,127.68 × 7,782.12
  4. Step 4: Simplify right side
    10,970.28x = 117,725,421.08
  5. Step 5: Solve for x
    x = 117,725,421.08/10,970.28
  6. Step 6: Final answer
    x = 10,731.31

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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.