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Finding the Fourth Proportional to 10,935, 15,090.98 and 6,219.28

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Solution

The fourth proportional to 10,935, 15,090.98 and 6,219.28 is: 8,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935 : 15,090.98 = 6,219.28 : x
  2. Step 2: Convert to fraction form
    10,935/15,090.98 = 6,219.28/x
  3. Step 3: Cross multiply
    10,935x = 15,090.98 × 6,219.28
  4. Step 4: Simplify right side
    10,935x = 93,855,070.34
  5. Step 5: Solve for x
    x = 93,855,070.34/10,935
  6. Step 6: Final answer
    x = 8,583.00

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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.