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Finding the Fourth Proportional to 10,507.01, 15,749.87 and 6,811.58

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Solution

The fourth proportional to 10,507.01, 15,749.87 and 6,811.58 is: 10,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.01 : 15,749.87 = 6,811.58 : x
  2. Step 2: Convert to fraction form
    10,507.01/15,749.87 = 6,811.58/x
  3. Step 3: Cross multiply
    10,507.01x = 15,749.87 × 6,811.58
  4. Step 4: Simplify right side
    10,507.01x = 107,281,386.69
  5. Step 5: Solve for x
    x = 107,281,386.69/10,507.01
  6. Step 6: Final answer
    x = 10,210.46

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