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Finding the Fourth Proportional to 10,419.55, 14,364.03 and 7,430.20

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Solution

The fourth proportional to 10,419.55, 14,364.03 and 7,430.20 is: 10,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.55 : 14,364.03 = 7,430.20 : x
  2. Step 2: Convert to fraction form
    10,419.55/14,364.03 = 7,430.20/x
  3. Step 3: Cross multiply
    10,419.55x = 14,364.03 × 7,430.20
  4. Step 4: Simplify right side
    10,419.55x = 106,727,615.71
  5. Step 5: Solve for x
    x = 106,727,615.71/10,419.55
  6. Step 6: Final answer
    x = 10,243.02

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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.