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Finding the Fourth Proportional to 7,090.68, 10,655.46 and 6,688.11

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Solution

The fourth proportional to 7,090.68, 10,655.46 and 6,688.11 is: 10,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.68 : 10,655.46 = 6,688.11 : x
  2. Step 2: Convert to fraction form
    7,090.68/10,655.46 = 6,688.11/x
  3. Step 3: Cross multiply
    7,090.68x = 10,655.46 × 6,688.11
  4. Step 4: Simplify right side
    7,090.68x = 71,264,888.58
  5. Step 5: Solve for x
    x = 71,264,888.58/7,090.68
  6. Step 6: Final answer
    x = 10,050.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.