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Finding the Fourth Proportional to 10,419.42, 14,363.86 and 7,430.07

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Solution

The fourth proportional to 10,419.42, 14,363.86 and 7,430.07 is: 10,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.42 : 14,363.86 = 7,430.07 : x
  2. Step 2: Convert to fraction form
    10,419.42/14,363.86 = 7,430.07/x
  3. Step 3: Cross multiply
    10,419.42x = 14,363.86 × 7,430.07
  4. Step 4: Simplify right side
    10,419.42x = 106,724,485.27
  5. Step 5: Solve for x
    x = 106,724,485.27/10,419.42
  6. Step 6: Final answer
    x = 10,242.84

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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.