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Finding the Fourth Proportional to 10,407.40, 15,604.58 and 4,400.40

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Solution

The fourth proportional to 10,407.40, 15,604.58 and 4,400.40 is: 6,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.40 : 15,604.58 = 4,400.40 : x
  2. Step 2: Convert to fraction form
    10,407.40/15,604.58 = 4,400.40/x
  3. Step 3: Cross multiply
    10,407.40x = 15,604.58 × 4,400.40
  4. Step 4: Simplify right side
    10,407.40x = 68,666,393.83
  5. Step 5: Solve for x
    x = 68,666,393.83/10,407.40
  6. Step 6: Final answer
    x = 6,597.84

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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.