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Finding the Fourth Proportional to 10,507.60, 15,762.66 and 4,266.28

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Solution

The fourth proportional to 10,507.60, 15,762.66 and 4,266.28 is: 6,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.60 : 15,762.66 = 4,266.28 : x
  2. Step 2: Convert to fraction form
    10,507.60/15,762.66 = 4,266.28/x
  3. Step 3: Cross multiply
    10,507.60x = 15,762.66 × 4,266.28
  4. Step 4: Simplify right side
    10,507.60x = 67,247,921.10
  5. Step 5: Solve for x
    x = 67,247,921.10/10,507.60
  6. Step 6: Final answer
    x = 6,399.93

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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.